Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay
We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs....
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/320832 |
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| _version_ | 1832554501943328768 |
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| author | Chunmei Zhang Wenxue Li Ke Wang |
| author_facet | Chunmei Zhang Wenxue Li Ke Wang |
| author_sort | Chunmei Zhang |
| collection | DOAJ |
| description | We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs. The main innovation here is that stochastic systems with infinite delay can retain stability and boundedness of corresponding deterministic systems under some conditions. |
| format | Article |
| id | doaj-art-7e25caf96fc94dc89a8888e27480d010 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7e25caf96fc94dc89a8888e27480d0102025-02-03T05:51:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/320832320832Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite DelayChunmei Zhang0Wenxue Li1Ke Wang2Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaWe make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs. The main innovation here is that stochastic systems with infinite delay can retain stability and boundedness of corresponding deterministic systems under some conditions.http://dx.doi.org/10.1155/2013/320832 |
| spellingShingle | Chunmei Zhang Wenxue Li Ke Wang Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay Journal of Applied Mathematics |
| title | Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay |
| title_full | Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay |
| title_fullStr | Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay |
| title_full_unstemmed | Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay |
| title_short | Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay |
| title_sort | stability and boundedness of stochastic volterra integrodifferential equations with infinite delay |
| url | http://dx.doi.org/10.1155/2013/320832 |
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