Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation | Zendy

Lijuan Shen | Zendy; Jitao Sun | Zendy

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Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation

Author(s) -

Lijuan Shen,

Jitao Sun

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/439724

Subject(s) - uniqueness , mathematics , nonlinear system , stochastic differential equation , comparison theorem , differential equation , mathematical analysis , picard–lindelöf theorem , stochastic partial differential equation , fixed point theorem , physics , quantum mechanics

This paper investigates the existence and uniqueness of mildsolutions to the general nonlinear stochastic impulsive differential equations.By using Schaefer's fixed theorem and stochastic analysis technique, wepropose sufficient conditions on existence and uniqueness of solution forstochastic differential equations with impulses. An example is also discussedto illustrate the effectiveness of the obtained results

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