Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching

Wei Mao, Liangjian Hu, Xuerong Mao

Research output: Contribution to journalArticle

3 Downloads (Pure)

Abstract

This paper focuses on the general decay stability of nonlinear neutral stochastic pantograph equations with Markovian switching (NSPEwMSs). Under the local Lipschitz condition and non-linear growth condition, the existence and almost sure stability with general decay of the solution for NSPEwMSs are investigated. By means of M-matrix theory, some sufficient conditions on the general decay stability are also established for NSPEwMSs.
Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume52
DOIs
Publication statusPublished - 5 Aug 2019

Keywords

  • neutral stochastic pantograph equations
  • Markovian switching
  • existence and uniqueness results
  • general decay stability

Fingerprint Dive into the research topics of 'Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching'. Together they form a unique fingerprint.

  • Cite this