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

Wei  Mao; Liangjian Hu; Xuerong Mao

doi:10.14232/ejqtde.2019.1.52

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

Wei Mao, Liangjian Hu, Xuerong Mao

Mathematics And Statistics

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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.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	52
DOIs	https://doi.org/10.14232/ejqtde.2019.1.52
Publication status	Published - 5 Aug 2019

Keywords

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

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10.14232/ejqtde.2019.1.52Licence: CC BY 4.0

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Mao, W., Hu, L., & Mao, X. (2019). Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. Electronic Journal of Qualitative Theory of Differential Equations, 52, 1-17. https://doi.org/10.14232/ejqtde.2019.1.52

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