Existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay in LP(Ω, Ch)

被引：4
作者：
Bao, Haibo [1 ]
机构：
[1] Hohai Univ, Dept Math & Phys, Nanjing 210098, Jiangsu, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2010年 / 34卷 / 01期
关键词：
Neutral stochastic functional differential equations; existence; uniqueness; infinite delay; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS;
D O I：
10.3906/mat-0806-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we shall consider the existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay in L-p(Omega,C-h) space: d[x(t) G(x(t))] = f(t, x(t))dt + g(t, x(t))dB(t), where we assume f : R+ x L-p(Omega,C-h) -> L-p (Omega, R-n), g : R+ x L-p(Omega,C-h) -> L-p (Omega, L(R-m, R-n)), G : Lp (Omega, C-h) -> L-p(Omega, R-n), p> 2, and B(t) is a given m-dimensional Brownian motion.
引用
收藏
页码：45 / 58
页数：14
相关论文
共 50 条
[31]   Neutral stochastic functional differential equations with infinite delay and Poisson jumps in the Cg space [J].
Yue, Chaohui .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 237 :595-604
[32]   Periodic solutions for a class of neutral functional differential equations with infinite delay [J].
Liu, Guirong ;
Yan, Weiping ;
Yan, Jurang .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) :604-613
[33]   EXISTENCE AND STABILITY OF SOLUTIONS TO NEUTRAL EQUATIONS WITH INFINITE DELAY [J].
Fu, Xianlong .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[34]   Existence and Stability of Solutions to Neutral Conformable Stochastic Functional Differential Equations [J].
Xiao, Guanli ;
Wang, JinRong ;
O'Regan, D. .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (01)
[35]   EXISTENCE OF MILD SOLUTIONS TO NEUTRAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY [J].
Qi Wang Zhijie Wang Minmin Ding Hongyan Zhang School of Mathematical Sciences Anhui University Hefei .
Annals of Differential Equations, 2012, 28 (02) :226-233
[36]   Periodic solutions of neutral functional differential equations with infinite delay [J].
Fan, M ;
Wang, K ;
Agarwal, RP .
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (01) :129-137
[37]   PERIODIC SOLUTIONS TO NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY [J].
Jiabu Dishen .
Annals of Applied Mathematics, 2014, (04) :394-397
[38]   Existence results for fractional neutral functional differential equations with infinite delay and nonlocal boundary conditions [J].
Alghanmi, Madeaha ;
Alqurayqiri, Shahad .
ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2023, 2023 (01)
[39]   Existence results for impulsive neutral functional differential equations with infinite delay [J].
Chang, Y. -K. ;
Anguraj, A. ;
Arjunan, M. Mallika .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (01) :209-218
[40]   Stochastic functional differential equations with infinite delay [J].
Zhou, Shaobo ;
Wang, Zhiyong ;
Feng, Dan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (02) :416-426
12345