Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations

DOI10.1007/s10884-012-9269-yzbMath1297.37008OpenAlexW2142388365MaRDI QIDQ715717

José M. Arrieta, Alexandre Nolasco De Carvalho

Publication date: 31 October 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9269-y

zbMATH Keywords

singular perturbationlower semicontinuitydichotomyunstable manifoldpullback attractorsnonautonomous dynamical systemasymptotically autonomous gradient systemsglobal bounded hyperbolic solutionnonautonomous evolution equation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Singular perturbations of ordinary differential equations (34D15) Attractors of solutions to ordinary differential equations (34D45) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Topological dynamics of nonautonomous systems (37B55)

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