Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation
This paper investigates the existence and uniqueness of mild solutions to the general nonlinear stochastic impulsive differential equations. By using Schaefer's fixed theorem and stochastic analysis technique, we propose sufficient conditions on existence and uniqueness of solution for stochast...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/439724 |
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| _version_ | 1832566927091826688 |
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| author | L. J. Shen J. T. Sun |
| author_facet | L. J. Shen J. T. Sun |
| author_sort | L. J. Shen |
| collection | DOAJ |
| description | This paper investigates the existence and uniqueness of mild
solutions to the general nonlinear stochastic impulsive differential equations.
By using Schaefer's fixed theorem and stochastic analysis technique, we
propose sufficient conditions on existence and uniqueness of solution for
stochastic differential equations with impulses. An example is also discussed
to illustrate the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-e7e242a8f2314045a81fbf388f31420f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e7e242a8f2314045a81fbf388f31420f2025-02-03T01:02:45ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/439724439724Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential EquationL. J. Shen0J. T. Sun1Department of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaThis paper investigates the existence and uniqueness of mild solutions to the general nonlinear stochastic impulsive differential equations. By using Schaefer's fixed theorem and stochastic analysis technique, we propose sufficient conditions on existence and uniqueness of solution for stochastic differential equations with impulses. An example is also discussed to illustrate the effectiveness of the obtained results.http://dx.doi.org/10.1155/2011/439724 |
| spellingShingle | L. J. Shen J. T. Sun Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation Abstract and Applied Analysis |
| title | Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation |
| title_full | Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation |
| title_fullStr | Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation |
| title_full_unstemmed | Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation |
| title_short | Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation |
| title_sort | existence and uniqueness of mild solutions for nonlinear stochastic impulsive differential equation |
| url | http://dx.doi.org/10.1155/2011/439724 |
| work_keys_str_mv | AT ljshen existenceanduniquenessofmildsolutionsfornonlinearstochasticimpulsivedifferentialequation AT jtsun existenceanduniquenessofmildsolutionsfornonlinearstochasticimpulsivedifferentialequation |