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Spectral stability results for higher-order operators under perturbations of the domain

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COMPTES RENDUS MATHEMATIQUE 351 19-20) 725-730 OCT 2013

STABILIZATION FOR THE SEMILINEAR WAVE EQUATION WITH GEOMETRIC CONTROL CONDITION

Joly, Romain; Laurent, Camille

ANALYSIS & PDE 6 (5) 1089-1119 2013

Geometrical Structure of Laplacian Eigenfunctions

Grebenkov, D. S.; Nguyen, B. -T.

SIAM REVIEW 55 (4) 601-667 2013

Attractors for parabolic problems in weighted spaces

Li, Xiaojun; Tang, Ying

TURKISH JOURNAL OF MATHEMATICS 37 (6) 959-969 2013

NON-AUTONOMOUS MORSE-DECOMPOSITION AND LYAPUNOV FUNCTIONS FOR GRADIENT-LIKE PROCESSES

Aragao-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 365 (10) 5277-5312 OCT 2013

Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains

Zhao, Caidi

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 10 (3) 283-312 SEP 2013

Boundary variation for non-autonomous parabolic equations with Neumann boundary condition

Ngiamsunthorn, Parinya Sa

AIP Conference Proceedings 1557 3-7 2013

GLOBAL EXISTENCE OF epsilon-REGULAR SOLUTIONS FOR THE STRONGLY DAMPED WAVE EQUATION

Zhang, Qinghua

Uniform attractors for the non-autonomous p-Laplacian equations with dynamic flux boundary conditions

Li, Kun; You, Bo

BOUNDARY VALUE PROBLEMS Article Number: 128 MAY 17 2013

Uniform resolvent convergence for strip with fast oscillating boundary

Borisov, Denis; Cardone, Giuseppe; Faella, Luisa; et al.

JOURNAL OF DIFFERENTIAL EQUATIONS 255 (12) 4378-4402 DEC 15 2013

ON UNIFORM ATTRACTORS FOR NON-AUTONOMOUS p-LAPLACIAN EQUATION WITH A DYNAMIC BOUNDARY CONDITION

Yang, Lu; Yang, Meihua; Wu, Jie

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 42 (1) 169-180 SEP 2013

On predicting climate under climate change

Daron, Joseph D.; Stainforth, David A.

ENVIRONMENTAL RESEARCH LETTERS 8 (3) Article Number: 034021 JUL-SEP 2013

Exponential attractors for the strongly damped wave equation

Li, Ke; Yang, Zhijian

APPLIED MATHEMATICS AND COMPUTATION 220 155-165 SEP 1 2013

Asymptotic Periodicity for Strongly Damped Wave Equations

Cuevas, Claudio; Lizama, Carlos; Soto, Herme

ABSTRACT AND APPLIED ANALYSIS Article Number:308616 2013

Skew product semiflows and Morse decomposition

Bortolan, M. C.; Caraballo, T.; Carvalho, A. N. and Langa, J. A.

JOURNAL OF DIFFERENTIAL EQUATIONS 255 (8) 2436-2462 OCT 15 2013

Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space

Charao, Ruy Coimbra; da Luz, Cleverson Roberto; Ikehata, Ryo

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 408 (1) 247-255 DEC 1 2013

Attractors for processes on time-dependent spaces. Applications to wave equations

Conti, Monica; Pata, Vittorino; Temam, Roger

JOURNAL OF DIFFERENTIAL EQUATIONS 255 (6) 1254-1277 SEP 15 2013

RATE OF CONVERGENCE OF GLOBAL ATTRACTORS OF SOME PERTURBED REACTION-DIFFUSION PROBLEMS

Arrieta, Jose M.; Bezerra, Flank D. M.; Carvalho, Alexandre N.

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 41 (2) 229-253 JUN 2013

Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics

Chepyzhov, V. V.

RUSSIAN MATHEMATICAL SURVEYS 68 (2) 349-382 2013

Approximate Controllability of Systems Determined by Almost Sectorial Operators

Henriquez, Hernan R.; Pierri, Michelle

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 32 (2) 199-214 2013

PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH SPACES: THEORETICAL RESULTS

Carvalho, Alexandre N.; Sonner, Stefanie

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 12 (6) 3047-3071 NOV 2013

Random attractors for singular stochastic evolution equations

Gess, Benjamin

JOURNAL OF DIFFERENTIAL EQUATIONS 255 (3) 524-559 AUG 1 2013

REDUCTION OF INFINITE DIMENSIONAL SYSTEMS TO FINITE DIMENSIONS: COMPACT CONVERGENCE APPROACH

Carvalho, A. N.; Cholewa, J. W.; Lozada-Cruz, G.; Primo, M. R. T.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS 45 (2) 600-638 2013

The Neumann problem in thin domains with very highly oscillatory boundaries

Arrieta, Jose M.; Pereira, Marcone C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 404 (1) 86-104 AUG 1 2013

Remarks on semilinear parabolic systems with terms concentrating in the boundary

Pereira, Marcone C.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 14 (4) 1921-1930 AUG 2013

Morse Decomposition of Attractors for Non-autonomous Dynamical Systems

Caraballo, Tomas; Jara, Juan C.; Langa, Jose A.; et al.

ADVANCED NONLINEAR STUDIES 13 (2) 309-329 MAY 2013

Global Attractors for p-Laplacian Equations with Dynamic Flux Boundary Conditions

You, Bo; Zhong, Chengkui

ADVANCED NONLINEAR STUDIES 13 (2) 391-410 MAY 2013

Regular attractors and nonautonomous perturbations of them

Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V.

SBORNIK MATHEMATICS 204 (1) 1-42 2013

Perturbation Theory for Abstract Volterra Equations

Kostic, Marko

ABSTRACT AND APPLIED ANALYSIS, Article Number: 307684 2013

Synchronization of Coupled Stochastic Systems Driven by alpha-Stable Levy Noises

Gu, Anhui

MATHEMATICAL PROBLEMS IN ENGINEERING, Article Number: 685798 2013

Nonlinear perturbations of a class of holomorphic semigroups of growth order a by comparison theorems for Volterra equations

Matsumoto, Toshitaka; Tanaka, Naoki

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 84 146-175 JUN 2013

Random Attractors for Degenerate Stochastic Partial Differential Equations

Gess, Benjamin

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 25 (1) 121-157 MAR 2013

Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms

Jones, Robert; Wang, Bixiang

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 14 (3) 1308-1322 JUN 2013

UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NONAUTONOMOUS KIRCHHOFF WAVE MODELS

Wang, Yonghai; Zhong, Chengkui

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 33 (7) 3189-3209 JUL 2013

Invariant manifolds for parabolic equations under perturbation of the domain

Ngiamsunthorn, Parinya Sa

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 80 28-48 MAR 2013

TIME DEPENDENT PERTURBATION IN A NON-AUTONOMOUS NON-CLASSICAL PARABOLIC EQUATION

Rivero, Felipe

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 18 (1)209-221 JAN 2013

LONG-TIME DYNAMICS OF THE PARABOLIC p-LAPLACIAN EQUATION

Geredeli, Pelin G.; Khanmamedov, Azer

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 12 (2)735-754 MAR 2013

GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH SUBCRITICAL-CRITICAL NONLINEARITIES

Dell'Oro, Filippo

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 12 (2) 1015-1027 MAR 2013

Continuity of the flows and upper semicontinuity of global attractors for p_s(x)-Laplacian parabolic problems

Simsen, Jacson; Simsen, Mariza S.; Primo, Marcos Roberto T.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 398 (1) 138-150 FEB 1 2013

ERROR ESTIMATES FOR A NEUMANN PROBLEM IN HIGHLY OSCILLATING THIN DOMAINS

Pereira, Marcone C.; Silva, Ricardo P.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 33 (2) 803-817 FEB 2013

2012-38

NON-AUTONOMOUS PARABOLIC PROBLEMS WITH SINGULAR INITIAL DATA IN WEIGHTED SPACES

Li, Xiaojun

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 42 (4) 1215-1245 2012

Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains

Zhao, Caidi

JOURNAL OF MATHEMATICAL PHYSICS 53 12 Article Number: 122702 DEC 2012

Existence of solutions to strongly damped quasilinear wave equations

Luo, Hong; Li, Li-mei; Ma, Tian

ADVANCES IN DIFFERENCE EQUATIONS 1-12 Article Number: 139 2012

Gradient Infinite-Dimensional Random Dynamical Systems

Caraballo, Tomas; Langa, Jose A.; Liu, Zhenxin

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 11 (4) 1817-1847 2012

A note on p-Laplacian parabolic problems in Rⁿ

Simsen, Jacson

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75 (18) 6620-6624 DEC 2012

On the Cahn-Hilliard equation in H¹(R^N)

Cholewa, Jan W.; Rodriguez-Bernal, Anibal

JOURNAL OF DIFFERENTIAL EQUATIONS 253 (12) 3678-3726 DEC 15 2012

LOWER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION

da Silva, Ricardo Parreira

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS Article Number: 185 OCT 28 2012

ON CONVERGENCE AND COMPACTNESS IN PARABOLIC PROBLEMS WITH GLOBALLY LARGE DIFFUSION AND NONLINEAR BOUNDARY CONDITIONS

Carbinatto, Maria C.; Rybakowski, Krzysztof P.

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 40 (1) 1-28 SEP 2012

A Weak Comparison Principle for Reaction-Diffusion Systems

Valero, Jose

JOURNAL OF FUNCTION SPACES AND APPLICATIONS Article Number: 679465 2012

Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary

Aragao, Gleiciane da Silva; Oliva, Sergio Muniz

JOURNAL OF DIFFERENTIAL EQUATIONS 253 (9) 2573-2592 NOV 1 2012

Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations

Arrieta, Jose M.; Carvalho, Alexandre N.; Langa, Jose A.; et al.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 24 (3) 427-481 SEP 2012

Domain perturbation and invariant manifolds

Varchon, Nicolas

JOURNAL OF EVOLUTION EQUATIONS 12 (3) 547-569 SEP 2012

STRUCTURE AND BIFURCATION OF PULLBACK ATTRACTORS IN A NON-AUTONOMOUS CHAFEE-INFANTE EQUATION

Carvalho, A. N.; Langa, J. A.; Robinson, J. C.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 140 (7) 2357-2373 JUL 2012

Approximate conservation laws of nonlinear perturbed heat and wave equations

Bokhari, Ashfaque H.; Johnpillai, A. G.; Mahomed, F. M.; et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 13 (6) 2823-2829 DEC 2012

ENERGY DECAY ESTIMATES FOR WAVE EQUATIONS WITH A FRACTIONAL DAMPING

Ikehata, Ryo; Natsume, Masato

DIFFERENTIAL AND INTEGRAL EQUATIONS 25 (9-10) 939-956 SEP-OCT 2012

On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

Liang Jin; Yan Sheng-Hua; Li Fang; TW Huang

ADVANCES IN DIFFERENCE EQUATIONS 1-16 DOI: 10.1186/1687-1847-2012-40 - 2012

An estimate on the fractal dimension of attractors of gradient-like dynamical systems

Bortolan M. C.; Caraballo T.; Carvalho A. N.; LANGA J. A.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75 14 5702-5722 SEP 2012

DYNAMICS OF NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON Rⁿ

Cung The Anh; Tang Quoc Bao

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 11 3 1231-1252 MAY 2012

A numerical study of parabolic problems with nonlinear boundary conditions

Zolfaghari R.; Shidfar A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES 35 (11) 1312-1320 JUL 30 2012

Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems

Wang Bixiang

JOURNAL OF DIFFERENTIAL EQUATIONS 253 (5) 1544-1583 SEP 1 2012

Long-time behavior for a nonlinear parabolic problem with variable exponents

Niu Weisheng

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 393 (1) 56-65 SEP 1 2012

A nonlinear elliptic problem with terms concentrating in the boundary

Aragao Gleiciane S.; Pereira Antonio L.; Pereira Marcone C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES 35 (9) 1110-1116 JUN 2012

On a class of degenerate parabolic equations with dynamic boundary conditions

Gal Ciprian G.

JOURNAL OF DIFFERENTIAL EQUATIONS 253 (1) 126-166 JUL 1 2012

Continuity of Lyapunov functions and of energy levels for a generalized gradient semibroup

Aragão-Costa Eder R.; Caraballo Tomas; Carvalho Alexandre N.; Langa JA

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 39 (1) 57-82 MAR 2012

Dissipative mechanism of a semilinear higher order parabolic equation in R-N

Cholewa Jan W.; Rodriguez-Bernal Anibal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS75 (8) 3510-3530 MAY 2012

ON DYNAMICAL BEHAVIOR OF VISCOUS CAHN-HILLIARD EQUATION

Li Desheng; Ju Xuewei

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS32 (6) 2207-2221 JUN 2012

LONG-TIME DYNAMICS IN PLATE MODELS WITH STRONG NONLINEAR DAMPING

Chueshov Igor; Kolbasin Stanislav

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 11 (2) 659-674 MAR 2012

Asymptotic regularity and attractors of the reaction-diffusion equation with nonlinear boundary condition

Yang Lu

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS13 (3)1069-1079 JUN 2012

Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions

Xiao Ti-Jun; Liang Jin

JOURNAL OF DIFFERENTIAL EQUATIONS 252 (6) 3953-3971 MAR 15 2012

Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations

Paicu, Marius; Raugel, Genevieve; Rekalo, Andrey

JOURNAL OF DIFFERENTIAL EQUATIONS 252 (6) 3695-3751 MAR 15 2012

Pullback attractors for generalized Korteweg-de Vries-Burgers equations

Cung The Anh; Tang Quoc Bao

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 388 (2) 899-912 APR 15 2012

Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions

Meyries Martin

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75 (5) 2922-2935 MAR 2012

Linear and semilinear higher order parabolic equations in R^N

Cholewa Jan W.; Rodriguez-Bernal Anibal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75 (1) 194-210 JAN 2012

A note on well-posedness of semilinear reaction-diffusion problem with singular initial data

Robinson James C.; Sierzega Mikolaj

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 385 (1) 105-110 JAN 1 2012

Abstract fractional Cauchy problems with almost sectorial operators

Wang Rong-Nian; Chen De-Han; Xiao Ti-Jun

JOURNAL OF DIFFERENTIAL EQUATIONS252 (1) 202-235 JAN 1 2012

The tangential variation of a localized flux-type eigenvalue problem

Pardo Rosa; Luiz Pereira Antonio; Sabina de Lis Jose C.

JOURNAL OF DIFFERENTIAL EQUATIONS 252 (3) 2104-2130 FEB 1 2012

Analysis of the viscous Cahn-Hilliard equation in R^N

Dlotko Tomasz; Kania Maria B.; Sun Chunyou

JOURNAL OF DIFFERENTIAL EQUATIONS252 (3) 2771-2791 FEB 1 2012

Long-time dynamics of Kirchhoff wave models with strong nonlinear damping

Chueshov Igor

JOURNAL OF DIFFERENTIAL EQUATIONS252 (2)1229-1262 JAN 15 2012

2011-34

Dynamical behaviour of non-autonomous 2D Navier-Stokes equations with singularly oscillating external force

Yan Xingjie

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL26 (3) 245-260 2011

Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term

Wu Hongqing; Zhang Zhuanye

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 26 (4) 391-400 2011

Pullback attractors for a singularly nonautonomous plate equation

Carbone, V. L.; Nascimento M. J.; Schiabel-Silva K. and da Silva, R. P.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONSArticle Number: 77 JUN 20 2011

Trajectory attractors of equations of mathematical physics

Vishik M. I.; Chepyzhov V. V.

RUSSIAN MATHEMATICAL SURVEYS 66 (4) 637-7312011

Exponential global attractors for semigroups in metric spaces with applications to differential equations

Carvalho Alexandre N.; Cholewa Jan W.

ERGODIC THEORY AND DYNAMICAL SYSTEMS 31 1641-1667 DEC 2011

The Cahn-Hilliard Equation with Logarithmic Potentials

Cherfils Laurence; Miranville Alain; Zelik Sergey

MILAN JOURNAL OF MATHEMATICS 79 (2) 561-596 DEC 2011

Stochastic climate dynamics: Random attractors and time-dependent invariant measures

Chekroun Mickael D.; Simonnet Eric; Ghil Michael

PHYSICA D-NONLINEAR PHENOMENA 240 (21) 1685-1700 OCT 15 2011

Almost periodic dynamics of perturbed infinite-dimensional dynamical systems

Wang Bixiang

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74 (18) 7252-7260 DEC 2011

Asymptotic behavior for a semilinear second order evolution equation

Sun Chunyou; Yang Lu; Duan Jinqiao

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 363 (11) 6085-6109 NOV 2011

Global attractors for strongly damped wave equations with displacemente dependent damping and nonlinear source term of critical exponent

Khanmamedov A. Kh

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 31 (1) 119-138 SEP 2011

Exponentially stable equilibria to an indefinite nonlinear Neumann problem in smooth domains

Madeira Gustavo Ferron; do Nascimento Arnaldo Simal

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 18 (5) 599-614 OCT 2011

Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials

Cung The Anh; Ta Thi Hong Yen

ANNALES POLONICI MATHEMATICI 102 2 161-186 2011

Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation

Ju Xuewei; Wang Hongli; Li Desheng and Jinqiao Duan

ABSTRACT AND APPLIED ANALYSISArticle Number: 670786 2011

Optimal control problem for viscous Cahn-Hilliard equation

Zhao Xiaopeng; Liu Changchun

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74 (17) 6348-6357 DEC 2011

Semilinear parabolic problems in thin domains with a highly oscillatory boundary

Arrieta JM, Carvalho AN, Pereira MC, Silva RP

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74 (15) 5111-5132 OCT 2011

Random attractors for stochastic semi-linear degenerate parabolic equations

Yang Meihua; Kloeden P. E.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 12 (5) 2811-2821 OCT 2011

Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force

Vorotnikov Dmitry

JOURNAL OF DIFFERENTIAL EQUATIONS 251 8 2209-2225 OCT 15 2011

Analysis of the Cahn-Hilliard Equation with a Chemical Potential Dependent Mobility

Grasselli M, Miranville A, Rossi R and Schimperna, G.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS36 (7) 1193-1238 2011

Pullback exponential attractors for nonautonomous equations Part I: Semi linear parabolic problems

Czaja R, Efendiev M

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 381 (2) 48-765SEP 15 2011

Asymptotic properties in parabolic problems dominated by a p-Laplacian operator with localized large diffusion

Carbone VL, Gentile CB, Schiabel-Silva K

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74 (12) 4002-4011 AUG 2011

Attractors for non-autonomous parabolic problems with singular initial data

Li XJ, Ruan SG

JOURNAL OF DIFFERENTIAL EQUATIONS 251 (3) 728-757 AUG 1 2011

Asymptotic behavior of a nonautonomous free boundary problem with two populations

Kloeden PE, Yang MH

REVISTA MATEMATICA COMPLUTENSE 24 (2) 539-552 JUL 2011

ASYMPTOTIC BEHAVIOR OF STOCHASTIC WAVE EQUATIONS WITH CRITICAL EXPONENTS ON R³

Wang Bixiang

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 363 7 3639-3663 JUL 2011

Stability Robustness in the Presence of Exponentially Unstable Isolated Equilibria

Angeli David; Praly Laurent

IEEE TRANSACTIONS ON AUTOMATIC CONTROL56 (7) 1582-1592 JUL 2011

Stability of gradient semigroups under perturbations

Aragao-Costa ER, Caraballo T, Carvalho AN, Langa JA

NONLINEARITY 24 (7) 2099-2117 JUL 2011

Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary

Jimenez-Casas A, Rodriguez-Bernal A

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS379 (2) 567-588 JUL 15 2011

NONAUTONOMOUS CONTINUATION OF BOUNDED SOLUTIONS

Poetzsche Christian

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 10 (3) 937-961 MAY 2011

Exponential attractors for non-autonomous dissipative system

Efendiev M, Yamamoto Y, Yagi A

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN63 (2) 647-673 APR 2011

Dynamics of a class of ODEs more general than almost periodic

Kloeden P. E.; Rodrigues H. M.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74 (7) 2695-2719 APR 1 2011

On the effects of migration and inter-specific competitions in steady state of some Lotka-Volterra model

Li F, Wang LP, Wang Y

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B15 (3) 669-686 MAR 2011

A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor

Caraballo T, Carvalho AN, Langa JA and Rivero LF

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74 (6) 2272-2283 MAR 15 2011

LOCALIZED SINGULARITIES AND CONLEY INDEX

Carbinatto MC, Rybakowski KP

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 37 (1) 1-35 MAR 2011

Uniform dissipativenes, robust synchronization and location of the attractor of parametrized nonautonomous discrete systems

Rodrigues HM, Wu JH, Gabriel LRA

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS21 (2) 513-526 FEB 2011

Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise

Yang M, Duan JQ, Kloeden P

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS12 (1) 464-478 FEB 2011

2010-47

The stabilization of coupled FitzHugh-Nagumo system

Yu X, Wang RZ

22nd Chinese Control and Decision Conference, MAY 26-AUG 28, 2010 Xuzhou, PEOPLES R CHINA

2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5875-877 (2010)

Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain

Arrieta JM, Krejcirik D

10th International Conference on Integral Methods in Science and Engineering, JUL 07-10, 2008 Univ Cantabria, Santander, SPAIN

INTEGRAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ANALYTIC METHODS 9-19,2010

On the Long-time Behaviour of the Quasi linear Parabolic Equation

Geredeli PG, Khanmamedov AK

International Conference on Numerical Analysis and Applied Mathematics, SEP 19-25, 2010 Rhodes, GREECE

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, AIP Conference Proceedings 12811987-1990 2010

The Neumann problem in an irregular domain

Bolikowski L, Gokieli M, Varchon N

INTERFACES AND FREE BOUNDARIES 12 (4) 443-462 2010

On a strongly damped wave equation for the flame front

Brauner CM, Lorenzi L, Sivashinsky GI and Xu CJ

CHINESE ANNALS OF MATHEMATICS SERIES B31 (6) 819-840NOV 2010

SYNCHRONIZATION OF COUPLED STOCHASTIC SYSTEMS WITH MULTIPLICATIVE NOISE

Shen ZW, Zhou SF, Han XY

STOCHASTICS AND DYNAMICS 10 (3) 407-428 SEP 2010

Finite-dimensional global attractors in Banach spaces

Carvalho AN, Langa JA, Robinson JC

JOURNAL OF DIFFERENTIAL EQUATIONS 249 (12) 3099-3109 DEC 15 2010

RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES

Balibrea F, Caraballo T, Kloeden PE, et al.

Conference Information: International Conference on Dynamical Systems and Multidisciplinary Applicatioins, SEP 16-19, 2008 Univ Miguel Hernandez, Elche, SPAIN

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 20(9) 2591-2636 SEP 2010

ATTRACTORS FOR PARAMETRIC DELAY DIFFERENTIAL EQUATIONS AND THEIR CONTINUOUS BEHAVIOR

Marin-Rubio P

Conference Information: International Conference on Dynamical Systems and Multidisciplinary Applicatioins, SEP 16-19, 2008 Univ Miguel Hernandez, Elche, SPAIN

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 20(9) 2671-2680 SEP 2010

A GRADIENT-LIKE NONAUTONOMOUS EVOLUTION PROCESS

Caraballo T, Langa JA, Rivero F, et al.

Conference Information: International Conference on Dynamical Systems and Multidisciplinary Applicatioins, SEP 16-19, 2008 Univ Miguel Hernandez, Elche, SPAIN

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 20(9) 2751-2760 SEP 2010

ON THE SUPERCRITICALITY OF THE FIRST HOPF BIFURCATION IN A DELAY BOUNDARY PROBLEM

Arrieta JM, Consul N, Oliva SM

Conference Information: International Conference on Dynamical Systems and Multidisciplinary Applicatioins, SEP 16-19, 2008 Univ Miguel Hernandez, Elche, SPAIN

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS20 (9) 2955-2963 SEP 2010

WELL POSEDNESS AND THE GLOBAL ATTRACTOR OF SOME QUASI-LINEAR PARABOLIC EQUATIONS WITH NONLINEAR DYNAMIC BOUNDARY CONDITIONS

Gal CG, Warma M

DIFFERENTIAL AND INTEGRAL EQUATIONS 23 (3-4) 327-358 MAR-APR 2010

Master-slave synchronization and invariant manifolds for coupled stochastic systems

Chueshov I, Schmalfuss B

JOURNAL OF MATHEMATICAL PHYSICS(10) Article Number: 102702 OCT 2010

Nonautonomous Dynamical Systems

Potzsche C

GEOMETRIC THEORY OF DISCRETE NONAUTONOMOUS DYNAMICAL SYSTEMS, Lecture Notes in Mathematics2002 2010

On the Z(2) index of the global attractor for a class of p-Laplacian equations

Zhong CK, Niu WS

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS73 (12) 3698-3704 DEC 15 2010

ON THE UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS WITH APPLICATIONS TO PLATE EQUATIONS

Wang YH

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 9 (6) 1653-1673 NOV 2010

Generalized Convergence and Uniform Bounds for Semigroups of Restrictions of Nonselfadjoint Operators

Pellicer M

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 22 (3) 399-411 SEP 2010

A global attractor for a p(x)-Laplacian parabolic problem

Simsen J

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 73 (10) 3278-3283 NOV 15 2010

Non-autonomous attractors for singularly perturbed parabolic equations on R-n

Gabert K, Wang BX

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 73 (10) 3336-3347 NOV 15 2010

Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition

Yang L, Yang MH

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 11 (5) 3946-3954 OCT 2010

Persistence of the bifurcation structure for a semilinear elliptic problem on thin domains

Kan T

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 73 (9) 2941-2956 NOV 1 2010

STRUCTURALLY DAMPED PLATE AND WAVE EQUATIONS WITH RANDOM POINT FORCE IN ARBITRARY SPACE DIMENSIONS

Schnaubelt R, Veraar M

DIFFERENTIAL AND INTEGRAL EQUATIONS23 (9-10) 957-988 SEP-OCT 2010

Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators

Cung TA, Nguyen VQ

ANNALES POLONICI MATHEMATICI98 (3) 251-271 2010

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Dlotko T, Sun CY

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 35 (2) 277-294 JUN 2010

Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations

Cholewa JW, Rodriguez-Bernal A

JOURNAL OF DIFFERENTIAL EQUATIONS 249 (3) 485-525 AUG 1 2010

On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method

Langa JA, Rodriguez-Bernal A, Suarez A

JOURNAL OF DIFFERENTIAL EQUATIONS249(2) 414-445JUL 15 2010

VERY RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS. THE CASE OF A NON UNIFORMLY LIPSCHITZ DEFORMATION

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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 14 (2) 327-351SEP 2010

Integrated semigroups and parabolic equations. Part I: linear perburbation of almost sectorial operators

Ducrot A, Magal P, Prevost K

JOURNAL OF EVOLUTION EQUATIONS10 (2) 263-291 MAY 2010

Asymptotic regularity for p-Laplacian equation

Liu YW, Yang L, Zhong CK

JOURNAL OF MATHEMATICAL PHYSICS 51 (5) Article Number: 052702 MAY 2010

Pullback attractors for a class of non-autonomous nonclassical diffusion equations

Cung TA, Tang QB

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS73 (2) 399-412 JUL 15 2010

Systems of p-Laplacian differential inclusions with large diffusion

Simsen J, Gentile CB

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 368 (2) 525-537 AUG 15 2010

On the instantaneous blow-up of solutions of some quasilinear evolution problems

Galakhov EI

DIFFERENTIAL EQUATIONS 46 (3) 329-338MAR 2010

On the global attractors for a class of semilinear degenerate parabolic equations

Cung TA, Nguyen DB, Le TT

ANNALES POLONICI MATHEMATICI98 (1) 71-89 2010

On quasilinear parabolic equations involving weighted p-Laplacian operators

Cung TA, Tran DK

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 17 (2) 195-212 APR 2010

Asymptotic behavior of a class of non-autonomous degenerate parabolic equations

Wang BX, Jones R

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS72 (9-10) 3887-3902MAY 1 2010

A Modified Poincaré, Method for the Persistence of Periodic Orbits and Applications

Hale JK, Raugel G

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 22 (1) 3-68 MAR 2010

Upper semicontinuity of pullback attractors for nonclassical diffusion equations

Wang YH, Qin YM

JOURNAL OF MATHEMATICAL PHYSICS51 (2) Article Number: 022701FEB 2010

Synchronization, multistability and basin crisis in coupled pendula

Olusola OI, Vincent UE, Njah AN

JOURNAL OF SOUND AND VIBRATION 329 (4) 443-456 FEB 15 2010

Global attractors for 2-D wave equations with displacement-dependent damping

Khanmamedov AK

MATHEMATICAL METHODS IN THE APPLIED SCIENCES 33 (2) 177-187JAN 30 2010

Remark on the regularity of the global attractor for the wave equation with nonlinear damping

Khanmamedov AK

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS72 (3-4) 1993-1999 FEB 1 2010

Exponential attractors for the strongly damped wave equations

Yang MH, Sun CY

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS11 (2) 913-919 APR 2010

Cascades of Hopf bifurcations from boundary delay

Arrieta JM, Consul N, Oliva SM

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 364 (1) 19-37 APR 1 2010

Stability of the blow-up time and the blow-up set under perturbations

Arrieta JM, Ferreira R, de Pablo A, et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 26 (1) 43-61JAN 2010

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Wang X, Yang L, Zhong CK

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 362 (2) 327-337 FEB 15 2010

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Sun CY

JOURNAL OF DIFFERENTIAL EQUATIONS248 (2) 342-362 JAN 15 2010

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Pereira AL, da Silva SH

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 26 (3) 1073-1100 MAR 2010

PULLBACK EXPONENTIAL ATTRACTORS

Langa JA, Miranville A, Real J

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS26 (4) 1329-1357 APR 2010

2009-36

EXISTENCE AND CONTINUITY OF GLOBAL ATTRACTORS FOR A DEGENERATE SEMILINEAR PARABOLIC EQUATION

Cung The Anh; Tran Dinh Ke

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONSArticle Number: 61MAY 4 2009

Synchronization of noisy dissipative systems under discretization

Kloeden PE, Neuenkirch A, Pavani R

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 15 (8-9) 785-801 2009

Asymptotic behavior of a parabolic problem with terms concentrated in the boundary

Jimenez-Casas A, Rodriguez-Bernal A

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71(12)2372-2378 DEC 15 2009

Bounds for blow-up time for the heat equation under nonlinear boundary conditions

Payne LE, Schaefer PW

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SEC A-MATHEMATICS139 1289-1296 Part 62009

Global chaos synchronization of coupled parametrically excited pendula

Olusola OI, Vincent UE, Njah AN

PRAMANA-JOURNAL OF PHYSICS 73 (6) 1011-1022 DEC 2009

On partial synchronization of nonlinear oscillations of two Berger plates coupled by internal subdomains

Naboka O

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 (12) 6299-6311 DEC 15 2009

Lower semicontinuity of attractors for non-autonomous dynamical systems

Carvalho AN, Langa JA, Robinson JC

ERGODIC THEORY AND DYNAMICAL SYSTEMS 29 1765-1780 (6) DEC 2009

On the absence of local solutions of several evolutionary problems

Galakhov EI

MATHEMATICAL NOTES86 (3-4) 314-324 OCT 2009

On the regularity of global attractors

Conti M, Pata V

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS25 (4)1209-1217 DEC 2009

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Wang X, Zhong CK

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS71 (11) 5733-5746 DEC 1 2009

ON SYNCHRONIZATION OF OSCILLATIONS OF TWO COUPLED BERGER PLATES WITH NONLINEAR INTERIOR DAMPING

Naboka O

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 8 (6) 1933-1956 NOV 2009

Long-time behavior for quasilinear parabolic equations involving weighted p-Laplacian operators

Anh CT, Ke TD

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS71 (10) 4415-4422 NOV 15 2009

Well-posed p-laplacian problems with large diffusion

Simsen J, Gentile CB

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 (10) 4609-4617 NOV 15 2009

Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time

Carvalho AN, Cholewa JW

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 361 (5) 2567-25862009

Peano type theorem for abstract parabolic equations

Zubelevich O

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE26 (4) 1407-1421 JUL-AUG 2009

Minimal coexistence configurations for multispecies systems

Conti M, Felli V

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 (7-8) 3163-3175 OCT 1 2009

On p-Laplacian differential inclusions-Global existence, compactness properties and asymptotic behavior

Simsen J, Gentile CB

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 (7-8) 3488-3500 OCT 1 2009

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Yue GC, Zhong CK

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 (9) 4105-4114 NOV 1 2009

On the continuity of pullback attractors for evolution processes

Carvalho AN, Langa JA, Robinson JC

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 (5-6) 1812-1824 SEP 1 2009

Finite-dimensional attractors for the quasi-linear strongly-damped wave equation

Kalantarov V, Zelik S

JOURNAL OF DIFFERENTIAL EQUATIONS 247(4) 1120-1155 AUG 15 2009

Global attractors for one dimensional p-Laplacian equation

Khanmamedov AK

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS71 (1-2) 155-171JUL 1 2009

Dynamics in dumbbell domains II. The limiting problem

Arrieta JM, Carvalho AN, Lozada-Cruz G

JOURNAL OF DIFFERENTIAL EQUATIONS 247 (1) 174-202JUL 1 2009

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Arrieta JM, Carvalho AN, Lozada-Cruz G

JOURNAL OF DIFFERENTIAL EQUATIONS 247 (1) 225-259 JUL 1 2009

DAMPED WAVE EQUATIONS WITH FAST GROWING DISSIPATIVE NONLINEARITIES

Carvalho AN, Cholewa JW, Dlotko T

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS24 (4) 1147-1165 AUG 2009

Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions

Carbone VL, Carvalho AN, Schiabel-Silva K

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 356 (1) 69-85 AUG 1 2009

Global Attractor for a Wave Equation with Nonlinear Localized Boundary Damping and a Source Term of Critical Exponent

Chueshov I, Lasiecka I, Toundykov D

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 21(2) 269-314 JUN 2009

An attractor for a nonlinear dissipative wave equation of Kirchhoff type

Nakao M

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 353 (2) 652-659 MAY 15 2009

An extension of the concept of gradient semigroups which is stable under perturbation

Carvalho AN, Langa JA

JOURNAL OF DIFFERENTIAL EQUATIONS246 (7) 2646-2668 APR 1 2009

On the 2D Cahn-Hilliard Equation with Inertial Term

Grasselli M, Schimperna G, Zelik S

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS34 (2)137-1702009

Robust exponential attractors for the strongly damped wave equation with memory. II

Di Plinio F, Pata V

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS16(1) 61-73 MAR 2009

Equilibria and global dynamics of a problem with bifurcation from infinity
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JOURNAL OF DIFFERENTIAL EQUATIONS246 (5) 2055-2080 MAR 1 2009

ATTRACTORS FOR A NON-LINEAR PARABOLIC EQUATION MODELLING SUSPENSION FLOWS
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 11 (2) 205-231 MAR 2009

Attractors for strongly damped wave equations
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Existence and regularity for a nonlinear boundary flow problem of population genetics
Madeira GF
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 70 (2) 974-981 JAN 15 2009

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de Toledo MDP, Oliva SM

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 23 (3) 1041-1060 MAR 2009

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Yang MH, Sun CY

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 361 (2) 1069-1101 2009

2008-33

The Stabilization of FitzHugh-Nagumo Systems with one Feedback Controller

Yu X, Li YY

27th Chinese Control Conference, JUL 16-18, 2008 Kunming, PEOPLES R CHINA

PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2 417-419 2008

Non-autonomous semilinear evolution equations with almost sectorial operators

Carvalho AN, Dlotko T, Nascimento MJD

JOURNAL OF EVOLUTION EQUATIONS8 (4) 631-659 2008

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Kania MB

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Lp-uniform attractor for nonautonomous reaction-diffusion equations in unbounded domains

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JOURNAL OF MATHEMATICAL PHYSICS 49 (5) 102705 DEZ 2008

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Chepyzhov VV, Pata V, Vishik MI

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 90 (5) 469-491 NOV 2008

Large time dynamics of a nonlinear spring-mass-damper model

Pellicer M

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 69 (9) 3110-3127 NOV 1 2008

Uniform attractor for non-autonomous hyperbolic equation with critical exponent

Yang L

APPLIED MATHEMATICS AND COMPUTATION 203 (2) 895-902 2008

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Di Plinio F, Pata V

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 15 (3) 301-315 2008

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Sun CY, Yang M

ASYMPTOTIC ANALYSIS 59 (1-2) 51-81 2008

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Chueshov I, Lasiecka I

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 195 Issue: 912 2008