Stable manifolds for non-instantaneous impulsive nonautonomous differential equations

Mengmeng Li and Wang JinRong and O’Regan Donal: Stable manifolds for non-instantaneous impulsive nonautonomous differential equations. (2019)

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Abstract

In this paper, we study stable invariant manifolds for a class of nonautonomous non-instantaneous impulsive equations where the homogeneous part has a nonuniform exponential dichotomy. We establish a stable invariant manifold result for sufficiently small perturbations by constructing stable and unstable invariant manifolds and we also show that the stable invariant manifolds are of class C 1 outside the jumping times using the continuous Fiber contraction principle technique.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 82
ISSN: 1417-3875
Page Range: pp. 1-28
DOI: 10.14232/ejqtde.2019.1.82
Uncontrolled Keywords: Differenciaegyenlet
Additional Information: Bibliogr.: p. 26-28. ; összefoglalás angol nyelven
Date Deposited: 2020. Jan. 27. 12:48
Last Modified: 2021. Sep. 16. 10:42
URI: http://acta.bibl.u-szeged.hu/id/eprint/64726

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