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Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay

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Abstract

In this paper, we consider the existence of mild solutions for a class of impulsive partial stochastic neutral integrodifferential equations with state-dependent delay in an α-norm. Sufficient conditions for the existence of mild solutions are established using the Krasnoselskii–Schaefer type fixed point theorem with the fractional power of operators. An example is given to illustrate our results.

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  1. Department of Mathematics, Hexi University, Zhangye, 734000, Gansu, People’s Republic of China

    Zuomao Yan & Xingxue Yan

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  1. Zuomao Yan
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  2. Xingxue Yan
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Correspondence to Zuomao Yan.

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Yan, Z., Yan, X. Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay. Collect. Math. 64, 235–250 (2013). https://doi.org/10.1007/s13348-012-0063-2

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  • DOI: https://doi.org/10.1007/s13348-012-0063-2

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