Existence for a Second-Order Impulsive Neutral Stochastic Integrodifferential Equations with Nonlocal Conditions and Infinite Delay | Zendy

Diem Dang Huan | Zendy

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Existence for a Second-Order Impulsive Neutral Stochastic Integrodifferential Equations with Nonlocal Conditions and Infinite Delay

Author(s) -

Diem Dang Huan

Publication year - 2014

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2014/143860

Subject(s) - mathematics , hilbert space , fixed point theorem , nonlinear system , class (philosophy) , bounded function , type (biology) , mathematical analysis , order (exchange) , fixed point , trigonometric functions , physics , computer science , ecology , finance , biology , geometry , quantum mechanics , artificial intelligence , economics

The current paper is concerned with the existence of mild solutionsfor a class of second-order impulsive neutral stochastic integrodifferential equationswith nonlocal conditions and infinite delays in a Hilbert space. A sufficient conditionfor the existence results is obtained by using the Krasnoselskii-Schaefer-type fixed pointtheorem combined with theories of a strongly continuous cosine family of bounded linearoperators. Finally, an application to the stochastic nonlinear wave equation with infinitedelay is given

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