The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations
Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations (HNSFDEs) without the linear growth condition...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/138031 |
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| _version_ | 1832566869558558720 |
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| author | Xiaofeng Zong Fuke Wu Chengming Huang |
| author_facet | Xiaofeng Zong Fuke Wu Chengming Huang |
| author_sort | Xiaofeng Zong |
| collection | DOAJ |
| description | Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations (HNSFDEs) without the linear growth condition and examines the boundedness and exponential stability. Two illustrative examples are given to show the effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-90a2d4947ec54bedb3fcd7ba16844fd5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-90a2d4947ec54bedb3fcd7ba16844fd52025-02-03T01:02:57ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/138031138031The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential EquationsXiaofeng Zong0Fuke Wu1Chengming Huang2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaNeutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations (HNSFDEs) without the linear growth condition and examines the boundedness and exponential stability. Two illustrative examples are given to show the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2013/138031 |
| spellingShingle | Xiaofeng Zong Fuke Wu Chengming Huang The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations Abstract and Applied Analysis |
| title | The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations |
| title_full | The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations |
| title_fullStr | The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations |
| title_full_unstemmed | The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations |
| title_short | The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations |
| title_sort | boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations |
| url | http://dx.doi.org/10.1155/2013/138031 |
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