Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients
A class of stochastic set differential equations (SSDEs) with non-Lipschitzian coefficients is investigated. We first give the preliminaries on the stochastic set differential equations. Then the nonexplosion of solutions to the SSDEs is discussed. Moreover, the existence and uniqueness of the solut...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/381972 |
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| _version_ | 1850107281670144000 |
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| author | Weiyin Fei Yunhe Li Chen Fei |
| author_facet | Weiyin Fei Yunhe Li Chen Fei |
| author_sort | Weiyin Fei |
| collection | DOAJ |
| description | A class of stochastic set differential equations (SSDEs) with non-Lipschitzian coefficients is investigated. We first give the preliminaries on the stochastic set differential equations. Then the nonexplosion of solutions to the SSDEs is discussed. Moreover, the existence and uniqueness of the solutions to SSDEs are proven. Finally, the continuous dependence of the solutions to SSDEs is studied. |
| format | Article |
| id | doaj-art-4ca7aeff4c44489bb262cf71b564d975 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4ca7aeff4c44489bb262cf71b564d9752025-08-20T02:38:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/381972381972Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian CoefficientsWeiyin Fei0Yunhe Li1Chen Fei2School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui 241000, ChinaSchool of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui 241000, ChinaSchool of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui 241000, ChinaA class of stochastic set differential equations (SSDEs) with non-Lipschitzian coefficients is investigated. We first give the preliminaries on the stochastic set differential equations. Then the nonexplosion of solutions to the SSDEs is discussed. Moreover, the existence and uniqueness of the solutions to SSDEs are proven. Finally, the continuous dependence of the solutions to SSDEs is studied.http://dx.doi.org/10.1155/2014/381972 |
| spellingShingle | Weiyin Fei Yunhe Li Chen Fei Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients Abstract and Applied Analysis |
| title | Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients |
| title_full | Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients |
| title_fullStr | Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients |
| title_full_unstemmed | Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients |
| title_short | Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients |
| title_sort | properties of solutions to stochastic set differential equations under non lipschitzian coefficients |
| url | http://dx.doi.org/10.1155/2014/381972 |
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