Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions

被引：32

作者：

Balasubramaniam, P. ^{[1
]}

Park, J. Y. ^{[2
]}

Kumar, A. Vincent Antony ^{[1
,3
]}

机构：

[1] Gandhigram Rural Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India

[2] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

[3] PSNA Coll Engn & Technol, Dept Math, Dindigul 624622, Tamil Nadu, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Existence of solutions; Semilinear stochastic neutral functional evolution equation; Nonlocal Cauchy problem; Semigroup; Sadovskii fixed point theorem; EVOLUTION-EQUATIONS; UNIQUENESS; DELAY;

D O I：

10.1016/j.na.2008.11.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using fractional power of operators and Sadovskii fixed point theorem, the existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions is studied. The results are a generalization and continuation of the recent results on this issue. An example is provided to illustrate the theory. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1049 / 1058

页数：10

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