Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type
We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. The results obtained in this paper generalize the results of several papers.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/603819 |
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| _version_ | 1841524725723955200 |
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| author | K. Balachandran J.-H. Kim |
| author_facet | K. Balachandran J.-H. Kim |
| author_sort | K. Balachandran |
| collection | DOAJ |
| description | We establish sufficient conditions for the existence and
uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral
equations of mixed type by using admissibility theory and fixed point theorems. The
results obtained in this paper generalize the results of several papers. |
| format | Article |
| id | doaj-art-5990b781afc249ef94eae082ac8f396e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5990b781afc249ef94eae082ac8f396e2025-02-03T05:47:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/603819603819Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed TypeK. Balachandran0J.-H. Kim1Department of Mathematics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics, Yonsei University, Seoul 120-749, South KoreaWe establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. The results obtained in this paper generalize the results of several papers.http://dx.doi.org/10.1155/2010/603819 |
| spellingShingle | K. Balachandran J.-H. Kim Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type International Journal of Mathematics and Mathematical Sciences |
| title | Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type |
| title_full | Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type |
| title_fullStr | Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type |
| title_full_unstemmed | Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type |
| title_short | Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type |
| title_sort | existence of solutions of nonlinear stochastic volterra fredholm integral equations of mixed type |
| url | http://dx.doi.org/10.1155/2010/603819 |
| work_keys_str_mv | AT kbalachandran existenceofsolutionsofnonlinearstochasticvolterrafredholmintegralequationsofmixedtype AT jhkim existenceofsolutionsofnonlinearstochasticvolterrafredholmintegralequationsofmixedtype |