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

被引：52

作者：

Yan, Zuomao ^{[1
]}

Yan, Xingxue ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

COLLECTANEA MATHEMATICA | 2013年 / 64卷 / 02期

关键词：

Impulsive partial stochastic neutral integrodifferential equations; State-dependent delays; Analytic semigroup; Fixed point; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ASYMPTOTIC STABILITY; INFINITE DELAYS; APPROXIMATE CONTROLLABILITY; EVOLUTION EQUATIONS; UNIQUENESS;

D O I：

10.1007/s13348-012-0063-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 alpha-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.

引用

页码：235 / 250

页数：16

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