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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |