Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity

Mengmeng Li; Jin Rong Wang; Donal O’Regan; Michal Fečkan

doi:10.5802/CRMATH.47

Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity

Mengmeng Li
, Jin Rong Wang
, Donal O’Regan
, Michal Fečkan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy. In addition, we show the C¹ smoothness of center manifolds outside the jumping times.

Original language	English
Pages (from-to)	341-364
Number of pages	24
Journal	Comptes Rendus Mathematique
Volume	358
Issue number	3
DOIs	https://doi.org/10.5802/CRMATH.47
Publication status	Published - 2020

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title = "Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity",

abstract = "In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy. In addition, we show the C1 smoothness of center manifolds outside the jumping times.",

author = "Mengmeng Li and Wang, \{Jin Rong\} and Donal O{\textquoteright}Regan and Michal Fe{\v c}kan",

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AU - Li, Mengmeng

AU - Wang, Jin Rong

AU - O’Regan, Donal

AU - Fečkan, Michal

PY - 2020

Y1 - 2020

N2 - In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy. In addition, we show the C1 smoothness of center manifolds outside the jumping times.

AB - In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy. In addition, we show the C1 smoothness of center manifolds outside the jumping times.

UR - https://www.scopus.com/pages/publications/85091942920

U2 - 10.5802/CRMATH.47

DO - 10.5802/CRMATH.47

M3 - Article

SN - 1631-073X

VL - 358

SP - 341

EP - 364

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 3

ER -

Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity

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