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
收藏
页码：235 / 250
页数：16
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