Convergence and stability of stochastic parabolic functional differential equations
Abstract The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is established. Secondly, various criteria f...
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| Format: | Article |
| Language: | English |
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Springer
2018-08-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1703-y |
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doaj-art-1b5fb9574bcb4d9cbff2403e14520bb72018-08-20T15:12:24ZengSpringerAdvances in Difference Equations1687-18472018-08-012018111210.1186/s13662-018-1703-yConvergence and stability of stochastic parabolic functional differential equationsZhao Li0Shuyong Li1College of Mathematics and Software Science, Sichuan Normal UniversityMianyang Teachers’ CollegeAbstract The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is established. Secondly, various criteria for the convergence and stability are obtained on the basis of the comparison theorem and stochastic analysis techniques. Finally, two examples are provided to illustrate the significance of the theoretical results.http://link.springer.com/article/10.1186/s13662-018-1703-yStochastic parabolic functional differential equationsComparison theoremFunctional differential equationConvergenceStability |
| institution |
Open Data Bank |
| collection |
Open Access Journals |
| building |
Directory of Open Access Journals |
| language |
English |
| format |
Article |
| author |
Zhao Li Shuyong Li |
| spellingShingle |
Zhao Li Shuyong Li Convergence and stability of stochastic parabolic functional differential equations Advances in Difference Equations Stochastic parabolic functional differential equations Comparison theorem Functional differential equation Convergence Stability |
| author_facet |
Zhao Li Shuyong Li |
| author_sort |
Zhao Li |
| title |
Convergence and stability of stochastic parabolic functional differential equations |
| title_short |
Convergence and stability of stochastic parabolic functional differential equations |
| title_full |
Convergence and stability of stochastic parabolic functional differential equations |
| title_fullStr |
Convergence and stability of stochastic parabolic functional differential equations |
| title_full_unstemmed |
Convergence and stability of stochastic parabolic functional differential equations |
| title_sort |
convergence and stability of stochastic parabolic functional differential equations |
| publisher |
Springer |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2018-08-01 |
| description |
Abstract The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is established. Secondly, various criteria for the convergence and stability are obtained on the basis of the comparison theorem and stochastic analysis techniques. Finally, two examples are provided to illustrate the significance of the theoretical results. |
| topic |
Stochastic parabolic functional differential equations Comparison theorem Functional differential equation Convergence Stability |
| url |
http://link.springer.com/article/10.1186/s13662-018-1703-y |
| _version_ |
1612688004299620352 |