Journal of Jilin University Science Edition

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Invariant Manifolds for Impulsive Differential Equations

JIANG Quanxia   

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2016-05-10 Online:2017-03-26 Published:2017-03-24
  • Contact: JIANG Quanxia E-mail:jqx1993@126.com

Abstract: When the linear impulsive differential equations had nonuniform (μ,ν) dichotomy, the author obtained the existence of invariant manifolds under sufficiently small perturbations by using the contraction mapping principle.

Key words: impulsive differential equation, nonuniform (μ,ν) dichotomy, stable manifold

CLC Number: 

  • O175