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

Mao, Wei and Hu, Liangjian and Mao, Xuerong: Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. Electronic journal of qualitative theory of differential equations 52. pp. 1-17. (2019)

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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.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 52
Page Range: pp. 1-17
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.52
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 14-17. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 30. 09:05
Last Modified: 2019. Sep. 30. 09:37
URI: http://acta.bibl.u-szeged.hu/id/eprint/62276

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