Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients
This paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provide...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/748590 |
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| _version_ | 1832565545138913280 |
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| author | Mamadou Abdoul Diop Khalil Ezzinbi Modou Lo |
| author_facet | Mamadou Abdoul Diop Khalil Ezzinbi Modou Lo |
| author_sort | Mamadou Abdoul Diop |
| collection | DOAJ |
| description | This paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provided to illustrate the results of this work. |
| format | Article |
| id | doaj-art-e7f78921fd9a4dd1ba92fa6c5a7dd517 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e7f78921fd9a4dd1ba92fa6c5a7dd5172025-02-03T01:07:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/748590748590Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz CoefficientsMamadou Abdoul Diop0Khalil Ezzinbi1Modou Lo2Département de Mathématiques, UFR SAT, Université Gaston Berger de Saint-Louis, P.O. Box 234, Saint-Louis, SenegalDépartement de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, P.O. Box 2390 Marrakech, MoroccoDépartement de Mathématiques, UFR SAT, Université Gaston Berger de Saint-Louis, P.O. Box 234, Saint-Louis, SenegalThis paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provided to illustrate the results of this work.http://dx.doi.org/10.1155/2012/748590 |
| spellingShingle | Mamadou Abdoul Diop Khalil Ezzinbi Modou Lo Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients International Journal of Mathematics and Mathematical Sciences |
| title | Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients |
| title_full | Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients |
| title_fullStr | Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients |
| title_full_unstemmed | Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients |
| title_short | Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients |
| title_sort | existence and uniqueness of mild solutions to some neutral stochastic partial functional integrodifferential equations with non lipschitz coefficients |
| url | http://dx.doi.org/10.1155/2012/748590 |
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