Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations

Zhanhua Yu

doi:10.1155/2011/143079

Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations

Zhanhua Yu^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We study the almost surely asymptotic stability of exact solutions to neutral stochastic pantograph equations (NSPEs), and sufficient conditions are obtained. Based on these sufficient conditions, we show that the backward Euler method (BEM) with variable stepsize can preserve the almost surely asymptotic stability. Numerical examples are demonstrated for illustration.

Original language	English
Article number	143079
Journal	Abstract and Applied Analysis
Volume	2011
DOIs	https://doi.org/10.1155/2011/143079
State	Published - 2011
Externally published	Yes

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DO - 10.1155/2011/143079

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Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations

Abstract

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