Nonautonomous continuation of bounded solutions

DOI10.3934/cpaa.2011.10.937zbMath1237.39005OpenAlexW2331787088MaRDI QIDQ652012

Christian Poetzsche

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.937

zbMATH Keywords

discretizationexponential dichotomyhyperbolicityfunctional differential equationbounded solutionsdifference equationstable manifolddichotomy spectrumnonautonomous continuationsurjective implicit function theorem

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Discrete version of topics in analysis (39A12) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60) Growth, boundedness, comparison of solutions to difference equations (39A22)

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