Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations

Author

Yu, Zhanhua

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-08-23

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Yu, Zhanhua. 2011. Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-449180

Modern Language Association (MLA)

Yu, Zhanhua. Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-449180

American Medical Association (AMA)

Yu, Zhanhua. Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-449180

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-449180