Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay (Q463196)
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scientific article; zbMATH DE number 6356634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay |
scientific article; zbMATH DE number 6356634 |
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Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay (English)
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16 October 2014
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Summary: The current paper is concerned with the existence of mild solutions for a class of second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delays in a Hilbert space. A sufficient condition for the existence results is obtained by using the Krasnoselskii-Schaefer-type fixed point theorem combined with theories of a strongly continuous cosine family of bounded linear operators. Finally, an application to the stochastic nonlinear wave equation with infinite delay is given.
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second-order impulsive neutral stochastic integro-differential equation
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nonlocal condition
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infinite delay
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Hilbert space
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Krasnoselskii-Schaefer-type fixed-point theorem
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stochastic nonlinear wave equation
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