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

被引：18

作者：

Mao, Wei ^{[1
]}

Hu, Liangjian ^{[2
]}

Mao, Xuerong ^{[3
]}

机构：

[1] Jiangsu Second Normal Univ, Sch Math & Informat Technol, Nanjing 210013, Jiangsu, Peoples R China

[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

[3] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2019年 / 52期

基金：

中国国家自然科学基金; 英国工程与自然科学研究理事会;

关键词：

neutral stochastic pantograph equations; Markovian switching; existence and uniqueness results; general decay stability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; RAZUMIKHIN-TYPE THEOREMS; EXPONENTIAL STABILITY; POLYNOMIAL STABILITY; DELAY EQUATIONS; ROBUSTNESS; CONVERGENCE; UNIQUENESS; EXISTENCE; SYSTEMS;

D O I：

10.14232/ejqtde.2019.1.52

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：17

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