Publications (Books)



Publications (Proceedings)



Publications in Journals - QUALIS A1

[01] Arrieta J.M., Carvalho, A.N. and Hale, J.K. "A Damped Hyperbolic Equation with Critical Exponent". Communications in Partial Differential Equations, 17 (5-6) 841-866 (1992).  (A1)
[02]  Carvalho, A.N. and Pereira, A.L. "A scalar parabolic equation whose asymptotic behavior is dictated by a system of ODE". Journal of Differential Equations, 112 (1) 81-130 (1994). (A1)
[03]  Carvalho, A.N. "Contracting Sets and Dissipation". Proceedings of the Royal Society of Edinburgh: Section A - Mathematics, 125A (6) 1305-1329 (1995). (A1)
[04]  Carvalho, A.N. "Infinite Dimensional Dynamical Systems Described by ODE". Journal of Differential Equations, 116 (2) 338-404 (1995). (A1)
[05]  Carvalho, A.N. and Ruas-Filho, J.G. "Global Attractors for Parabolic Problems in Fractional Power Spaces". SIAM Journal on Mathematical Analysis, 26 (2) 415-427 (1995). (A1)
[06]  Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Parabolic Problems with Nonlinear Boundary Conditions and Critical Nonlinearities". Journal of Differential Equations, 156 (2) 376-406 (1999). (A1)
[07]  Arrieta, J.M., Carvalho, A.N. "Abstract Parabolic Problems with Critical Nonlinearities and Applications to Navier-Stokes and Heat Equations". Transactions of the American Mathematical Society, 352 285-310 (2000). (A1)
[08]  Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Attractors for Parabolic Problems with Nonlinear Boundary Condition. Uniform Bounds". Communications in Partial Differential Equations 25 (1-2),1-37 (2000). (A1)
[09]  Bruschi, S.M., Carvalho, A.N. and Ruas-Filho, J.G. "The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization". Journal of Differential Equations 168 (1) 67-92 (2000). (A1)
[10]  Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Upper Semicontinuity of Attractors for Parabolic Problems with Localized Large Diffusion and Nonlinear Boundary Conditions". Journal of Differential Equations 168 (1) 33-59 (2000). (A1)
[11]  Arrieta, J. M. and Carvalho, A.N. "Spectral Convergence and Nolinear Dynamics of Reaction Diffusion Equations Under Perturbations of the Domain". Journal of Differential Equations, 199 (1) 143-178 (2004). (A1)
[12]   Arrieta, J. M., Carvalho, A.N. and Lozada-Cruz, G "Dynamics in dumbbell domains I. Continuity of the set of equilibria", Journal of Differential Equations, 231 551-597 (2006). (A1)
[13] Carvalho, A.N. and Langa, J.A., "Non-autonomous perturbation of autonomous semilinear differential equations: Continuity of local stable and unstable manifolds". Journal of Differential Equations, 233 622-–653 (2007). (A1)
[14]  Carvalho, A.N., Langa, J.A., Robinson, J. C. and A. Suárez "Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system". Journal of Differential Equations, 236 (2007) 570-–603. (A1)
[15] Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Strongly damped wave problems: bootstrapping and regularity of solutions". Journal of Differential Equations, 244 2310-2333 (2008). (A1)
[16] Carvalho, A.N. and Cholewa, J.W. "Local well posedness, asymptotic bootstrapping and asymptotic behavior for a class of semilinear evolution equations of second order in time". Transactions of the American Mathematical Society, 361 (5) 2567-2586, (2009). (A1)
[17] Carvalho, A.N., Langa, J. A., "An extension of the concept of gradient systems which is stable under perturbation". Journal of Differential Equations, 246 (7) 2646-2668 (2009). (A1)
[18]  Arrieta, J.M., Carvalho, A.N. and Lozada-Cruz, G. "Dynamics in dumbbell domains II. The Limiting Problem", Journal of Differential Equations,  247 (1) 174-202 (2009). (A1)
[19] Arrieta, J.M., Carvalho, A.N. and Lozada-Cruz, G. "Dynamics in dumbbell domains III. Continuity of Attractors", Journal of Differential Equations,  247 (1) 225-259 (2009). (A1)
[20] Carvalho, A.N., Langa, J. A., and Robinson, J. C. "Finite-dimensional global attractors in Banach spaces". Journal of Differential Equations, 249 (12) 3099-–3109 (2010). (A1)
[21]  Aragão-Costa, E. R.,  Caraballo, T.,  Carvalho, A.N. and  Langa, J. A. "Stability of gradient semigroups under perturbations". Nonlinearity,  24  2099-–2117 (2011). (A1)
[22] Carvalho, A.N., Cholewa, J.W., Lozada-Cruz, G. and Primo, M.R.T. "Reduction of infinite dimensional systems to finite dimensions: Compact convergence approach". SIAM Journal on Mathematical Analysis45, 600-638, (2013). (A1)
[23]  Aragão-Costa, E. R.,  Caraballo, T.,  Carvalho, A.N. and  Langa, J. A. "Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes", Transactions of the American Mathematical Society, 365 (10) 5277-5312 (2013). (A1).
[24]  Bortolan, M. C.  Caraballo, T.,   Carvalho, A.N.   and   Langa, J. A. "Skew Product Semiflows and Morse Decomposition",  Journal of Differential Equations,   255 (2013) 2436-2462 (A1)
[25] Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Equi-exponential attraction and rate of convergence of attractors for singularly perturbed evolution equations". Proceedings of the Royal Society of Edinburgh, Section A - Mathematics 144A 13-51 (2014). (A1)
[26]  Bortolan, M. C.   and   Carvalho, A.N.   and   Langa, J. A. "Structure of attractors for skew product semiflows"Journal of Differential Equations,   257 (2) 490-522 (2014). (A1)
[27]  Bonotto, E. M. Bortolan, M. C. Carvalho, A.N.Czaja, R. "Attractors for impulsive dynamical systems" Journal of Differential Equations,   259 (7) 2602-2625 (2015). (A1)
[28]  Carvalho, A.N. and Pimentel, J. F. S. , "Autonomous and non-autonomous unbounded attractors under perturbations"Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149 (4), 877-903 (2019). (A1)
[29]  Broche, R. C. D. S. Carvalho, A.N.   and   Valero, J. "A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics"Nonlinearity 32 4912-4941 (2019). (A1)
[30]  Bruschi, Simone M. Carvalho, A.N.   and   Pimentel, Juliana F. S. , "Limiting grow-up behavior for a one-parameter family of dissipative PDEs"Indiana Univ. Math. J.   69 (2) 657-683 (2020). (A1)
[31]  Bortolan, M. C.,   Carvalho, A.N.Cardoso, C.   and   Pires, L. "Lipschitz perturbations of Morse-Smale semigroups"Journal of Differential Equations.  269 (3) 1904-1943 (2020) (A1)
[32]  Carvalho, A.N., Cui, H.,   Cunha, A. C. and Langa, J. A. "Smoothing and finite-dimensionality of uniform attractors in Banach spaces."  Journal of Differential Equations, 285 383-428 (2021). (A1)
[33]  Carvalho, A.N.Moreira, E. M. "Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem."  Journal of Differential Equations,   300, 312-336 (2021)


Publications in Journals - QUALIS A2

[01]  Carvalho, A.N. and  Hale, J.K., "Large Diffusion with Dispersion". Nonlinear Analysis-Theory Methods and Applications, 17 (12) 1139-1151 (1991). (A2)
[03]  Carvalho, A.N. and Oliveira, L.A.F. "Delay-Partial Differential Equations with Some Large Diffusion". Nonlinear Analysis-Theory Methods and Applications, 22 (9) 1057-1095 (1994). (A2)
[03]  Carvalho, A.N., Oliva, S.M. , Pereira, A.L., and Rodriguez-Bernal, A. "Attractors for Parabolic Problems with Nonlinear Boundary Conditions", Journal of Mathematical Analysis and Applications, 207 (2) 409-461 (1997).  (A2)
[04]  Carvalho, A.N. and Cuminato, J.A. "Reaction-Diffusion Problems in Cell Tissues". Journal of Dynamics and Differential Equations , 9 (1) 93-131 (1997). (A2)
[05]  Carvalho, A.N., Dlotko, Tomasz and Rodrigues, H.M. "Upper Semicontinuity of Attractors and Synchronization". Journal of Mathematical Analysis and Applications, 220 (1) 13-41 (1998).  (A2)
[06]  Carvalho, A.N. and Dlotko, Tomasz "Parabolic Problems in H1 with Fast Growing Nonlinearities". Nonlinear Analysis-Theory Methods and Applications, 33 (4) 391-399 (1998). (A2)
[07]  Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Perturbation of the Diffusion and Upper Semicontinuity of Attractors". Applied Mathematics Letters, 12 (5) 37-42 (1999).  (A2)
[08]  Carvalho, A.N. and Gentile, C.B. "Comparison results for Nonlinear Parabolic Equations with Monotone Principal Part". Journal of Mathematical Analysis and Applications , 259 (1) 319-337 (2001).  (A2)
[09]  Carvalho, A.N. and Gentile, C.B. "Asymptotic Behavior of Nonlinear Parabolic Equations with Monotone Principal Part". Journal of Mathematical Analysis and Applications 280 (2) 252-272 (2003). (A2)
[10] Carvalho, A.N. and Primo M.R.T. "Spatial Homogeneity in Parabolic Problems with Nonlinear Boundary Conditions". Communication in Pure and Applied Analysis 3 (4) 637-651 (2004). (A2)
[11]  Carvalho, A.N. and Cholewa, J.W. "Continuation and asymptotics to semilinear parabolic equations with critical nonlinearities", Journal of Mathematical Analysis and Applications, 310 (2) 557-578 (2005). (A2)
[12]  Bruschi, S. M., Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equation". Journal of Dynamics and Differential Equations 18 (3) 767-814 (2006). (A2)
[13]  Carvalho, A.N. and Lozada-Cruz, G. "Patterns in Parabolic Problems with Nonlinear Boundary Conditions". Journal of Mathematical Analysis and Applications, 325 1216-1239 (2007). (A2)
[14] Carvalho, A.N. and Cholewa, J.W. "Strongly damped wave equations W1, p x Lp". Discrete and Continuous Dymanical Systems - Series A, Suppl. (2007) 230-239. (A2)
[15] Carvalho, A.N. and Cholewa, J.W. "Regularity of the solutions on the global attractor for a semilinear hyperbolic damped wave equation", Journal of Mathematical Analysis and Applications, 337 (2008) 932-–948.  (A2)
[16]
  Carbone, V.L., Carvalho, A.N. and Schiabel-Silva, K." Continuity of attractors for parabolic problems with localized large diffusion". Nonlinear Analysis: Theory, Methods and Applications, 68 (3) (2008) 515-535. (A2)
[17] Carvalho, A.N. and Dlotko, Tomasz "Dynamics of the viscous Cahn-Hilliard Equation", Journal of Mathematical Analysis and Applications,  344 (2) 703-325 (2008). (A2)
[18] Carvalho, A.N., Dlotko, Tomasz and Nascimento, M.J.D. "Non-autonomous semilinear evolution equations with almost sectorial operators''.  Journal of Evolution Equations,  8 (4) 631-–659  (2008). (A2)
[19] Carbone, V.L., Carvalho, A.N. and Schiabel-Silva, K." Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions", Journal of Mathematical Analysis and Applications,  356 (1) 69-85 (2009). (A2)
[20] Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Damped wave equations with fast growing dissipative nonlinearities". Discrete and Continuous Dymanical Systems - Series A, 24 (4) 1147-1165 (2009). (A2)
[21] Carvalho, A.N., Langa, J. A., and Robinson, J. C. "On the continuity of pullback attractors for evolution processes", Nonlinear Analysis: Theory, Methods and Applications, 71 (5-6) 1812-1824 (2009). (A2)
[22] Carvalho, A.N., Langa, J.A., and Robinson, J. C. "Lower Semicontinuity of attractors for non-gradient dynamical systems". Ergodic Theory and Dynamical Systems, 29 (6) 1765-1780 (2009). (A2)
[23] Caraballo, T., Carvalho, A.N., Langa, J. A. and  L. F. Rivero "Existence of pullback attractors for pullback asymptotically compact processes",  Nonlinear Analysis: Theory, Methods and Applications, 72 (3-4) 1967-1976 (2010). (A2)
[24]  Caraballo, T., Carvalho, A.N., Langa, J. A., and  L. F. Rivero" A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor",  Nonlinear Analysis: Theory, Methods and Applications, 74  2272-2283 (2011). (A2)
[25]  Arrieta J.M., Carvalho, A.N., Pereira, M. C. and Rilva, R. P. "Semilinear parabolic problems in thin domains with a highly oscillatory boundary", Nonlinear Analysis: Theory, Methods and Applications, 74  5111-–5132  (2011). (A2)
[26] Carvalho, A.N., Cholewa, J.W. "Exponential global attractors for semigroups in metric spaces with applications to differential equations". Ergodic Theory and Dynamical Systems31 (6) 1641-–1667 (2011). (A2)
[27]  Bortolan, M. C. Caraballo, T.,  Carvalho, A.N. and  Langa, J. A. "An estimate on the fractal dimension of attractors of gradient-like dynamical systems",  Nonlinear Analysis: Theory, Methods and Applications, 75 (14) 5702-5722 (2012) (A2).
[28] Arrieta, J.M., Carvalho, A.N., Langa, J.A., and Rodriguez-Bernal, A. "Continuity of dynamical structures for non-autonomous evolution equations under singular perturbations". Journal of Dynamics and Differential Equations 24 (3) 427-481 (2012). (A2)
[29]  Carvalho, A. N. and Sonner, S. "Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results",  Communications on Pure and Applied Analysis, 12 (6) 3047-3071 (2013). (A2).
[30]  Carvalho, A.N.   and  Sonner, S., "Pullback Exponential Attractors for Evolution Processes in Banach Spaces: Properties and Applications" Communications on Pure and Applied Analysis, 13 (3) 1141-1165 (2014). (A2).
[31]  Bezerra, F. D. M., Carvalho, A.N., Cholewa, J.W.  and Nascimento, M.J.D. "Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics ", Journal of Mathematical Analysis and Applications, 450 (1) 377-405 (2017). (A2)
[32]  Carvalho, A.N. and Pires, L. , "Rate of Convergence of Attractors for Singularly Perturberd Semilinear Problems" Journal of Mathematical Analysis and Applications, 452 (1) 258-296 (2017). (A2)
[33]  Bezerra, F. D. M., Carvalho, A.N., Dlotko, Tomasz,  and Nascimento, M.J.D. "Fractional Schrodinger Equation; solvability, asymptotic behaviour and connection with classical Schrodinger Equation",   Journal of Mathematical Analysis and Applications, 457 (1) 336-360 (2018). (A2)
[34]  Carvalho, A.N.Langa, J. A.   and   Robinson, J. C. "Forwards dynamics of non-autonomous dynamical systems: driving semigroups without backwards uniqueness and structure of the attractor." Communications on Pure and Applied Analysis.   19 (4) 1997-2013 (2020). (A2)
[35]  Carvalho, A.N.Li, YananMamani-Luna, T. L.   and   Moreira, E. M., "A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation."  Communications on Pure and Applied Analysis.  19 (11) 5181-5196 (2020).(A2)
[36]  Carvalho, A.N.Langa, J. A., Caraballo, T.   and   Oliveira-Sousa, A. N. "The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations."  Journal of Mathematical Analysis and Applications, 500 (2) 125134 (2021). (A2)
[37]  Bortolan, M. C.,   Carvalho, A.N.Langa, J. A.   and   Raugel, G. "Non-autonomous perturbations of Morse-Smale semigroups: stability of the phase diagram."  Journal of Dynamics and Differential Equations,   Accepted for publication. (A2)


Publications in Journals - QUALIS A3

[01] Carvalho, A.N. and Cholewa, J.W. "Attractors for Strongly Damped Wave Equation with Critical Nonlinearities". Pacific Journal of Mathematics 207 (2) (2002).  (A3)
[02]  Carvalho, A.N.Langa, J. A., and Robinson, J. C. "Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation". Proceedings of the American Mathematical Society, 140 (2012), 2357-2373. (A3)
[03]  Carvalho, A.N., Langa, J. A.   and   Robinson, J. C. "Non-autonomous dynamical systems" Discrete and Continuous Dynamical Systems - Series B,   20 (3) 703-747 (2015). (A3)
[04]  Caraballo, T. , Carvalho, A.N., Costa, H. B. and Langa, J. A. "Equi-attraction and continuity of attractors for skew-product semiflows" Discrete and Continuous Dynamical Systems - Series B,  21 (9) 2949-2967 (2016). (A3)
[05]  Cholewa, J.W.   and   Carvalho, A.N. "NLS-like equations in bounded domains: parabolic approximation procedure",  Discrete and Continuous Dynamical Systems - Series B, 23 (1) 57-77 (2018). (A3)
[06]  Caballero, R. Carvalho, A.N.Marín-Rubio, P.  and   Valero, J. "Robustness of dynamically gradient multivalued dynamical systems" Discrete and Continuous Dynamical Systems - Series B, 24 (3) 1049-1077 (2019). (A3)
[07]  Bezerra, F. D. M., Carvalho, A.N. and Nascimento, M.J.D. " Fractional approximations of abstract semilinear parabolic problems ", Discrete and Continuous Dynamical Systems - Series B.   25 (11) 4221-4255 (2020). (A3)
[08]  Caraballo, T.,   Carvalho, A.N.Langa, J. A.,   and   Oliveira-Sousa, A. N."A study of nonuniform nonautonomous hyperbolicity: robustness, continuous dependence of projections and persistence of nonuniform hyperbolic solutions."  Asymptotic Analysis,   Accepted for publication. (A2)


Publications in Journals - QUALIS A4

[01]  Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Critical Nonlinearities at the Boundary". Comptes Rendus de l'Académie des Sciences, 327 Série I-Mathematics, 353-358 (1998).  (A4)
[02] Carvalho, A.N. and Piskarev, S. "A general approximation scheme for attractors of abstract parabolic problems". Numerical Functional Analysis and Optimization 27 (7-8) 785 - 829 (2006). (A4)
[03] Aragão-Costa, E. R.,  Caraballo, T.,  Carvalho, A.N. and  Langa, J. A. "Continuity of Lyapunov functions and of energy levels  for generalized gradient semigroups". Topological Methods in Nonlinear Analysis, 39 57-82 (2012). (A4)
[04]  Arrieta J.M., Bezerra, F. D. M. and Carvalho, A.N. "Rate of convergence of attractors for some singularly perturbed parabolic problems".  Topological Methods in Nonlinear Analysis, 41 (2) 229-253 (2013). (A4)
[05]  Aragão-Costa, E. R.,  Carvalho, A.N., Planas, G. and  Marin, P. "Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems". Topological Methods in Nonlinear Analysis, 42 (2) 345-376 (2013). (A4)
[06]  Andrade, B.,  Carvalho, A.N., Carvalho-Neto, P. M. and  Marin, P. "Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results".  Topological Methods in Nonlinear Analysis,   45, (2) 439-468 (2015). (A4)
[07]  Bortolan, M. C.  and   Carvalho, A.N. "Damped wave equations and their Yosida Approximations",  Topological Methods in Nonlinear Analysis,  46 (2) 563-602 (2015). (A4)
[08]  Carvalho, A.N., Cholewa, J.W., and Nascimento, M.J.D." On the continuation of solutions of non-autonomous semilinear parabolic problems",  Proceedings of the Edinburgh Mathematical Society,  59 (1) 17-55 (2016). (A4)
[09]  Carvalho, A.N. and Pires, L. , "Parabolic equations with localized large diffusion: Rate of convergence of attractors" Topological Methods and Nonlinear Analysis, 53 (1) 1-23 (2019). (A4).


Other Publications in Journals

[01]   Carvalho, A.N. and Nascimento, M.J.D. "Singularly non-autonomous semilinear parabolic problems with critical exponents and applications''. Discrete and Continuous Dymanical Systems - Series S, 2 (3) 449-471 (2009). (B1)
[02]  Caraballo, T., Carvalho, A.N., Langa, J. A., and  L. F. Rivero "A gradient-like non-autonomous evolution processes".  International Journal of Bifurcation and Chaos, 20 (9) 2751-2760 (2010). (B1)
[03]  Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz, "Examples of Global Attractors in Parabolic Problems". Hokkaido University Mathematical Journal, 27 (1) 77-103 (1998).  (B2)
[04]  Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Global Attractors for Problems with Monotone Operators". Bollettino della Unione Matematica Italiana, Vol. II-B (03) 693-706 (1999). (B2)
[05] Carvalho, A.N. and Cholewa, J.W. "Local Well Posedness for Strongly Damped Wave Equation with Critical Nonlinearities". Bulletin of the Australian Mathematical Society 66 443-463 (2002). (B2)
[06] Carvalho, A.N. and Dlotko, Tomasz "Partially Dissipative Systems in Uniformly Local Spaces" Colloquium Mathematicum, 100 (2) 221-242 (2004). (B2)
[07] Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Abstract Parabolic Problems in Ordered Banach Spaces". Colloquium Mathematicum, 90 (1) 1-17 (2001). (B2)
[08]  Carvalho, A.N. and Primo M.R.T. "Boundary Synchronization in Parabolic Problems with Nonlinear Boundary Conditions". Dynamics of Continuous, Discrete and Inpulsive Systems, 7 (4) 541-560 (2000).(B4)
[09]  Carvalho, A.N. "Spatial Homogeneity in Damped Hyperbolic Equations". Dynamic Systems and Applications, 1 (3) 221-250 (1992).  (NC)
[10]  Carvalho, A.N.,"Parabolic Problems with Non-linear Boundary Conditions in Cell Tissues". Resenhas do Instituto de Matemática e Estatística - USP, 3 (1) 125-140 (1997).  (NC)
[11]  Carvalho, A.N. and Hines, G. "Lower semicontinuity of attractors for gradient systems". Dynamic Systems and Applications 9 (1) 37-50 (2000). (NC)
[12]  Abreu, E. A. M. and Carvalho, A.N. "Lower Semicontinuity of Attractors for Parabolic Problems with Dirichlet Boundary Conditons in Varying Domains", Matemática Contemporânea, 27 37-51 (2004) . (NC)
[13] Carvalho, A.N. and Lozada-Cruz, G. "On parabolic equations with large diffusion in dumbbell domains". Revista de Matemática e Estatística, 24 (2) 91-106 (2006). (NC)
[14] Carvalho, A.N. and Bruschi, S.M., "Upper semicontinuity of Attractors for the discretization of a strongly damped wave equation". Matemática Contemporânea,  32  39-62 (2007). (NC)


Papers submitted for publication or in preparation

[01]  Carvalho, A.N.Langa, J. A., Robinson, J. C.   and   Cunha, A. C. "Finite dimension of negatively invariant subsets of Banach spaces."  Submitted for publication.
[02]  Carvalho, A.N.Langa, J. A., Caraballo, T.   and   Oliveira-Sousa, A. N. "A study of nonuniform nonautonomous hyperbolicity: robustness, continuous dependence of projections and persistence of nonuniform hyperbolic solutions. "  Submitted for publication.
[03]  Carvalho, A.N.Moreira, E. M. "Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem."  Submitted for publication.
[04]  Bortolan, M. C.,   Carvalho, A.N.Langa, J. A.   and   Raugel, G. "Non-autonomous perturbations of Morse-Smale semigroups: stability of the phase diagram."  Submitted for publication.
[05]  Carvalho, A.N.Langa, J. A.,  Obaya, R.   and   Rocha, L. R. N. "Structure of non-autonomous attractors for a class of diffusively coupled ODE."  Preprint.
[06]  Carvalho, A.N.Moreira, E. M., and Oliveira-Sousa, A. N. "Inertial manifolds, saddle point property and exponential dichotomy."  Preprint.
[07]  Carvalho, A.N.Mamani-Luna, T. L., "A non-autonomous bifurcation problem for a scalar one dimension degenerated parabolic problem."  Preprint.
[08]  Carvalho, A.N.Mamani-Luna, T. L., "A bifurcation problem for one-dimensional elliptic equation with p-Laplacian operator and general absorption."  Preprint.


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