The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations
We consider the existence of global solutions and their moment boundedness for stochastic multipantograph equations. By the idea of Lyapunov function, we impose some polynomial growth conditions on the coefficients of the equation which enables us to study the boundedness more applicably. Methods an...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/6862028 |
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| author | Maosheng Tian Xuejing Meng Jihong Chen Xiaoqi Tang |
| author_facet | Maosheng Tian Xuejing Meng Jihong Chen Xiaoqi Tang |
| author_sort | Maosheng Tian |
| collection | DOAJ |
| description | We consider the existence of global solutions and their moment boundedness for stochastic multipantograph equations. By the idea of Lyapunov function, we impose some polynomial growth conditions on the coefficients of the equation which enables us to study the boundedness more applicably. Methods and techniques developed here have the potential to be applied in other unbounded delay stochastic differential equations. |
| format | Article |
| id | doaj-art-aef00a4964834c73a2d88db5687155a3 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-aef00a4964834c73a2d88db5687155a32025-02-03T01:09:41ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/68620286862028The Global Solutions and Moment Boundedness of Stochastic Multipantograph EquationsMaosheng Tian0Xuejing Meng1Jihong Chen2Xiaoqi Tang3State Engineering Research Center of Numerical Control System, Huazhong University of Science and Technology, Wuhan 430074, ChinaPostdoctoral Research Station of Zhongnan University of Economics and Law, Wuhan 430073, ChinaState Engineering Research Center of Numerical Control System, Huazhong University of Science and Technology, Wuhan 430074, ChinaState Engineering Research Center of Numerical Control System, Huazhong University of Science and Technology, Wuhan 430074, ChinaWe consider the existence of global solutions and their moment boundedness for stochastic multipantograph equations. By the idea of Lyapunov function, we impose some polynomial growth conditions on the coefficients of the equation which enables us to study the boundedness more applicably. Methods and techniques developed here have the potential to be applied in other unbounded delay stochastic differential equations.http://dx.doi.org/10.1155/2016/6862028 |
| spellingShingle | Maosheng Tian Xuejing Meng Jihong Chen Xiaoqi Tang The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations Journal of Control Science and Engineering |
| title | The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations |
| title_full | The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations |
| title_fullStr | The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations |
| title_full_unstemmed | The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations |
| title_short | The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations |
| title_sort | global solutions and moment boundedness of stochastic multipantograph equations |
| url | http://dx.doi.org/10.1155/2016/6862028 |
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