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

共 50 条

[1] On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions
Akça, H
Covachev, V
Al-Zahrani, E
RECENT ADVANCES IN OPERATOR THEORY, OPEATOR ALGEBRAS, AND THEIR APPLICATIONS, 2005, 153 : 1 - 11
[2] Existence of solutions for neutral functional differential evolution equations with nonlocal conditions
Fu, XL
Ezzinbi, K
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (02) : 215 - 227
[3] Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
Anguraj, A.
Karthikeyan, K.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) : 2717 - 2721
[4] Existence of Some Semilinear Nonlocal Functional Differential Equations of Neutral Type
Liu, Hsiang
Liao, Cheng-Wen
Pang, Chin-Tzong
ABSTRACT AND APPLIED ANALYSIS, 2013,
[5] EXISTENCE RESULTS FOR SEMILINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
Ntouyas, S. K.
O'Regan, D.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2009, 1 (01): : 41 - 65
[6] Existence and stability of solutions of stochastic semilinear functional differential equations
Govindan, TE
STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) : 1257 - 1280
[7] EXISTENCE OF SOLUTIONS FOR SEMILINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS IN BANACH SPACES
Dong, Qixiang
Li, Gang
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (47)
[8] Existence of Solutions for Semilinear Impulsive Delay Differential Equations with Nonlocal Conditions
李美丽
刘海强
JournalofDonghuaUniversity(EnglishEdition), 2010, 27 (05) : 614 - 617
[9] Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions
Olszowy, Leszek
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (04): : 623 - 635
[10] CONTROLLABILITY OF SEMILINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
Kwun, Young Chel
Park, So Hyun
Park, Dong Gun
Park, Jong Seo
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (03): : 245 - 257

← 1 2 3 4 5 →