Globally Exponential Stability of Piecewise Pseudo Almost Periodic Solutions for Neutral Differential Equations with Impulses and Delays

  1. Jianxin He 1
  2. Fanchao Kong 2
  3. Juan J. Nieto 3
  4. Hongjun Qiu 1
  1. 1 Jiujiang University
    info

    Jiujiang University

    Jiujiang, China

    ROR https://ror.org/0066vpg85

  2. 2 Anhui Normal University
    info

    Anhui Normal University

    Wuhu, China

    ROR https://ror.org/05fsfvw79

  3. 3 Universidade de Santiago de Compostel
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Revista:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Ano de publicación: 2022

Volume: 21

Número: 2

Tipo: Artigo

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Outras publicacións en: Qualitative theory of dynamical systems

Resumo

In this paper, a kind of delayed impulsive neutral differential equations (DINDEs) has been studied. By making the use of contraction mapping principle and generalized Gronwall-Bellmain inequality, some novel and sufficient conditions on the existence and uniqueness of the piecewise pseudo almost periodic (PAP) solutions are established. Furthermore, by applying the definition of the globally exponential stability and inequality technology, the globally exponential stability of the piecewise PAP solutions of the addressed DINDE is obtained. The established results of this paper are new and some previous related works are extended and included. Finally, one numerical example is exploited to illustrate the advantages of the established theoretical results.

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