Local existence-uniqueness and continuation of solutions for delay stochastic evolution equations

被引:3
作者
Ning, Hanwen [1 ]
Liu, Bing [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Math, Wuhan 430074, Hubei, Peoples R China
关键词
stochastic evolution equations; local existence; uniqueness; continuation; FUNCTIONAL-DIFFERENTIAL EQUATIONS; STABILITY; THEOREMS;
D O I
10.1080/00036810902913839
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we consider dynamic behaviours of a class of non-linear delay stochastic evolution equations. Local existence and uniqueness of the solutions are obtained with the aid of proper iterative scheme and moment estimations. We also propose a continuation result and our results generalize the known results.
引用
收藏
页码:563 / 577
页数:15
相关论文
共 23 条
[1]  
[Anonymous], 1982, ORDINARY DIFFERENTIA
[2]   Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property [J].
Caraballo, T ;
Liu, K ;
Truman, A .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (1999) :1775-1802
[3]   Existence and uniqueness of solutions for delay stochastic evolution equations [J].
Caraballo, T ;
Garrido-Atienza, MJ ;
Real, J .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) :1225-1256
[4]   Nonlinear partial functional differential equations: Existence and stability [J].
Caraballo, T .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (01) :87-111
[5]  
Driver RD, 1977, APPLMATH SCI
[6]  
Friedman A., 1975, Probability and Mathematical Statistics
[7]  
Hale JK., 2013, Introduction to Functional Differential Equations
[8]   Stepanov-like almost automorphic solutions of nonautonomous semilinear evolution equations with delay [J].
Lee, Haewon ;
Alkahby, Hadi .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) :2158-2166
[9]   Stability analysis of the zero solution for two class evolution equations [J].
Liu, Yicheng ;
Li, Zhixiang .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) :2058-2076
[10]  
LUO J, 2008, STOCH P APPL, V118, P396