Publications (Books/Proceedings)



Publications (Journals)

[01]  Carvalho, A. N. and  Hale, J.K., Large Diffusion with Dispersion. Nonlinear Analysis-Theory Methods and Applications, 17 (12) 1139-1151 (1991). (A2)
[02] 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)
[03]  Carvalho, A.N. Spatial Homogeneity in Damped Hyperbolic Equations. Dynamic Systems and Applications, 1 (3) 221-250 (1992).  (NC)
[04]  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)
[05]  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)
[06]  Carvalho, A.N. Contracting Sets and Dissipation. Proceedings of the Royal Society of Edinburgh: Section A - Mathematics, 125A (6) 1305-1329 (1995). (A1)
[07]  Carvalho, A. N. Infinite Dimensional Dynamical Systems Described by ODE. Journal of Differential Equations, 116 (2) 338-404 (1995). (A1)
[08]  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)
[09]  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)
[10]  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)
[11]  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)
[12]  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)
[13]  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)
[14]  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)
[15]  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)
[16]  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)
[17]  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)
[18]  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)
[19]  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)
[20]  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)
[21]  Carvalho, A.N. and Hines, G. Lower semicontinuity of attractors for gradient systems. Dynamic Systems and Applications 9 (1) 37-50 (2000). (NC)
[22]
 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)
[23]  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)
[24]  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)
[25]  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)
[26] Carvalho, A. N., Cholewa, J.W. and Dlotko, Tomasz Abstract Parabolic Problems in Ordered Banach Spaces. Colloquium Mathematicum, 90 (1) 1-17 (2001). (B2)
[27] Carvalho, A. N. and Cholewa, J.W. Attractors for Strongly Damped Wave Equation with Critical Nonlinearities. Pacific Journal of Mathematics 207 (2) (2002).  (A3)
[28] 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)
[29]  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)
[30]  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)
[31] Carvalho, A. N. and Dlotko, Tomasz Partially Dissipative Systems in Uniformly Local Spaces Colloquium Mathematicum, 100 (2) 221-242 (2004). (B2)
[32] 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)
[33]  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)
[34]  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)
[35] 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)
[36] 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)
[37]  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)
[38]   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)
[39]  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)
[40] 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)
[41]  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)
[42] 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)
[43] Carvalho, A. N. and Bruschi, S.M., Upper semicontinuity of Attractors for the discretization of a strongly damped wave equationMatemática Contemporânea,  32  39-62 (2007). (NC)
[44] 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)
[45]
  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)
[46] Carvalho, A. N., Cholewa, J.W. and Dlotko, Tomasz Strongly damped wave problems: bootstrapping and regularity of solutionsJournal of Differential Equations, 244 2310-2333 (2008). (A1)
[47] Carvalho, A. N. and Dlotko, Tomasz Dynamics of the viscous Cahn-Hilliard EquationJournal of Mathematical Analysis and Applications,  344 (2) 703-325 (2008). (A2)
[48] 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)
[49] 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)
[50] 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)
[51] 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)
[52] 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)
[53]  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)
[54] 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)
[55] 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)
[56]   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)
[57] 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)
[58] 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)
[59] Carvalho, A. N., Langa, J. A., and Robinson, J. C. Finite-dimensional global attractors in Banach spacesJournal of Differential Equations, 249 (12) 3099–3109 (2010). (A1)
[60]  Caraballo, T., Carvalho, A.N., Langa, J. A., and  L. F. Rivero A gradient-like non-autonomous evolution processesInternational Journal of Bifurcation and Chaos, 20 (9) 2751-2760 (2010). (B1)
[61]  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)
[62]  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)
[63]  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)
[64] 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)
[65]  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)
[66] 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)
[67]  Bortolan, M. C. Caraballo, T.,  Carvalho, A. N. and  Langa, J. A. An estimate on the fractal dimension of attractors of gradient-like dynamical systemsNonlinear Analysis: Theory, Methods and Applications, 75 (14) 5702-5722 (2012) (A2).
[68] Arrieta, J.M., Carvalho, A. N., Langa, J.A., and Rodriguez-Bernal, A. Continuity of dynamical structures for non-autonomous evolution equations under singular perturbationsJournal of Dynamics and Differential Equations 24 (3) 427-481 (2012). (A2)
[69] 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)
[70]  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).
[71]  Arrieta J.M., Bezerra, F. D. M. and Carvalho, A. N. Rate of convergence of attractors for some singularly perturbed parabolic problemsTopological Methods in Nonlinear Analysis, 41 (2) 229-253 (2013). (A4)
[72]  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).
[73]  Bortolan, M. C.  Caraballo, T.,   Carvalho, A. N.   and   Langa, J. A. Skew Product Semiflows and Morse DecompositionJournal of Differential Equations,   255 (2013) 2436-2462 (A1)
[74]  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)
[75]  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).
[76] Carvalho, A. N., Cholewa, J.W. and Dlotko, Tomasz Equi-exponential attraction and rate of convergence of attractors for singularly perturbed evolution equationsProceedings of the Royal Society of Edinburgh, Section A - Mathematics 144A 13-51 (2014). (A1)
[77]  Bortolan, M. C.   and   Carvalho, A. N.   and   Langa, J. A. Structure of attractors for skew product semiflowsJournal of Differential Equations,   257 (2) 490-522 (2014). (A1)
[78]  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)
[79]  Andrade, B.,  Carvalho, A. N., Carvalho-Neto, P. M. and  Marin, P. Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison resultsTopological Methods in Nonlinear Analysis,   45, (2) 439-468 (2015). (A4)
[80]  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)
[81]  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)
[82]  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)
[83]  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)
[84]  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)
[85]  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)
[86]  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)
[87]  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)
[88]  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)
[89]  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)
[90]  Carvalho, A. N. and Pimentel, J. F. S. , Autonomous and non-autonomous unbounded attractors under perturbationsProceedings of the Royal Society of Edinburgh Section A: Mathematics, 149 (4), 877-903 (2019). (A1)
[91]  Broche, R. C. D. S. Carvalho, A. N.   and   Valero, J. A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamicsNonlinearity 32 4912-4941 (2019). (A1)
[92]  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)
[93]  Bruschi, Simone M. Carvalho, A. N.   and   Pimentel, Juliana F. S. , Limiting grow-up behavior for a one-parameter family of dissipative PDEsIndiana Univ. Math. J.   69 (2) 657-683 (2020). (A1)
[94]  Bortolan, M. C.,   Carvalho, A. N.Cardoso, C.   and   Pires, L. Lipschitz perturbations of Morse-Smale semigroupsJournal of Differential Equations,  269 (3) 1904-1943 (2020) (A1)
[95]  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)
[96]  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)
[97]  Caballero, R. Carvalho, A. N.Marín-Rubio, P.  and   Valero, J. About the structure of attractors for a nonlocal Chafee-Infante problem.  Mathematics, 9 (4), p. 353, (2021).
[98]  Caraballo, T.,   Carvalho, A. N.Langa, J. A.,   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)
[99]  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)
[100]  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). (A1)
[101]  Carvalho, A. N.Langa, J. A., Robinson, J. C.   and   Cunha, A. C. Finite dimension of negatively invariant subsets of Banach spaces.  Journal of Mathematical Analysis and Applications,  509 (2022) 125945. (A2)
[102]  Caraballo, T.,   Carvalho, A. N.Langa, J. A.,   and   Oliveira-Sousa, A. N.Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations.  Asymptotic Analysis,   129 (1), 1-27, 2022. (A3)
[103]  Bezerra, F.D.M. Carvalho, A. N. Santos, L.A. . Well-posedness for some third-order evolution differential equations: A semigroup approach  Journal of Evolution Equations, (2022) 22 (2) Article 53. (A2)
[104]  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,   34, 2681-2747  (2022). (A2)
[105]  Caraballo, T.,   Carvalho, A. N.Langa, J. A.,   and   Oliveira-Sousa, A. N.Continuity and topological structural stability for nonautonomous random attractors.  Stochastic and Dynamics , 22 (07) 2240024 (2022).
[106]  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.  Discrete and Continuous Dynamical Systems - Series B,  2023, 28 (1): 426-448. (A3).
[107]  Carvalho, A. N.Mamani-Luna, T. L., A bifurcation problem for one-dimensional elliptic equation with p-Laplacian operator and general absorption.   Journal of Differential Equations, 373 (15), 446-475 (2023).
[108]  Caraballo, T.,   Carvalho, A. N.Lopez-Lazaro, H. L Modified Non-Newtonian Incompressible Fluids.  Journal of Mathematical Physics, 64, 112701 (2023).
[109]  Arrieta J.M.  Carvalho, A. N.Moreira, E.M   and   Valero, J.   Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem.  Advances in Differential Equations, 29 (1/2), 1-26, ( 2024).
[110]  Banaśkiewicz, J.,   Carvalho, A. N.Garcia-Fuentes, J.   Kalita, P. ,   Autonomous and non-autonomous unbounded attractors in evolutionary problems.  Journal of Dynamics and Differential Equations, Published online: December 2022 (2022), Accepted for publication.
[111]  Bezerra, F. D. M.   Carvalho, A. N.Santos, L. A.   Takaessu Jr., C. R. Spectral Analysis for some Third-Order Differential Equations: A Semigroup Approach.  Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Accepted for publication.
[112]  Carvalho, A. N.Lappicy, P. Moreira, E. M., and Oliveira-Sousa, A. N. Inertial manifolds, saddle point property and exponential dichotomy.  Submitted for Publication.
[113]  Bortolan, M. C.,   Carvalho, A. N.Marin-Rubio, P.,   and   Valero, J.Weak global attractors for the 3D-Navier-Stokes equations via the Globally Modified Navier-Stokes Equation.   Submitted for Publication.
[114]  Bonotto, E.M.,   Carvalho, A. N.Nascimento, M.J.D.,   and   Santiago, E.B.Lower semicontinuity of pullback attractors for a non-autonomous coupled system of strongly damped wave equations.   Submitted for Publication.
[115]  Carvalho, A. N.Simsen, J.Simsen, M.S. Attractors for parabolic problems with p(x)-laplacian: bounds, continuity and comparison results.  Submitted for publication.
[116]  Caraballo, T.,   Carvalho, A. N.Julio, YessicaExistence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante Problem via semigroup theory  Submitted for publication.
[117]  Caraballo, T.,   Carvalho, A. N.Julio, YessicaA delay nonlocal quasilinear Chafee-Infante problem: An approach via semigroup theory   Submitted for publication.
[118]  Carvalho, A. N.Mamani-Luna, T. L.,   A non-autonomous bifurcation problem for a scalar one dimension degenerated parabolic problem.  Preprint.
[119]  Carvalho, A. N.Lappicy, P.  ... ,   Nonautonomous Chafee-Infante attractors: a connection matrix approach.  In preparation.
[120]  Carvalho, A. N.José Antonio LangaRafael de Oliveira Mora , Finite fractal dimension of uniform attractors for non-autonomous dynamical systems with infinite dimensional symbol space   Preprint.


Publications (Proceedings)

[01] Carvalho, A. N. and Ruas-Filho, J.G. Perturbação de Operadores de Evolução e Dicotomias. Atas do 26 Seminário Brasileiro de Análise. IM-UFRJ, (1987).
[02] Carvalho, A. N. and Primo, M. R. T. Semicontinuidade de Attratores. Atas do 44 Seminário Brasileiro de Análise, FFCLRP-USP, Ribeirão Preto-SP, (1996).
[03] Carvalho, A. N. and Primo, M. R. T. Sincronização Através da Fronteira em Problemas Parabólicos com Condição de Fronteira Não Linear. Atas do 48 Seminário Brasileiro de Análise. LNCC-Petrópolis-RJ, (1998).
[04] Bruschi, S. Carvalho, A. N. and Ruas-Filho, J.G. The dynamics of a one-dimensional parabolic problems versus the dynamics of its discretization. Atas do 52 Seminário Brasileiro de Análise, São José dos Campos, Novembro (2000).
[05] Carvalho, A. N. and Santos, J. S. The delay effect on reaction-diffusion equations. Atas do 52 Seminário Brasileiro de Análise, São José dos Campos, Novembro (2000).
[06] Bruschi, S. Carvalho, A. N. Continuity of the Attractors for a One Dimensional Perturbed Hyperbolic Equation." Atas do 53 Seminário Brasileiro de Análise, Maringá, Maio de (2001).
[07] Carvalho, A. N. and Cruz, German L. Padrões em Problemas Parabólicos. Atas do 53 Seminário Brasileiro de Análise, Maringá, Maio (2001).
[08] Carvalho, A. N. and Bruschi, S. Semicontinuidade Superior de Atratores dos Problemas da Onda com Atrito Forte e Sua respectiva Equação Discretizada. Atas do 54 Seminário Brasileiro de Análise, São José do Rio Preto, 21-24 de Novembro (2001).
[09] Carvalho, A. N., Cruz, German L. and Primo, M. R. T. Homogeneidade Espacial em Problemas Atmosféricos. Atas do 56 Seminário Brasileiro de Análise, Novembro (2002).
[10] Carvalho, A. N. and Cruz, German L. Uma observação numa equação de reação-difusão num domínio tipo dumbbel. Atas do 58 Seminário Brasileiro de Análise, Novembro (2003).
[11] Carbone, V. L., Carvalho, A. N. and Schiabel-Silva, K. Continuity of attractors for parabolic problems with localized large diffusion. Atas do 61 Seminário Brasileiro de Análise, Maio (2005).


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andcarva@icmc.usp.br