Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations
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 asym...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/143079 |
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| author | Zhanhua Yu |
| author_facet | Zhanhua Yu |
| author_sort | Zhanhua Yu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-00356727d5ff45fb8327f9fd8a7ecb44 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-00356727d5ff45fb8327f9fd8a7ecb442025-02-03T05:54:13ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/143079143079Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph EquationsZhanhua Yu0Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, ChinaWe 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.http://dx.doi.org/10.1155/2011/143079 |
| spellingShingle | Zhanhua Yu Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations Abstract and Applied Analysis |
| title | Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations |
| title_full | Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations |
| title_fullStr | Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations |
| title_full_unstemmed | Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations |
| title_short | Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations |
| title_sort | almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations |
| url | http://dx.doi.org/10.1155/2011/143079 |
| work_keys_str_mv | AT zhanhuayu almostsurelyasymptoticstabilityofexactandnumericalsolutionsforneutralstochasticpantographequations |