STABILITY OF STOCHASTIC NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS UNDER HOLDER TYPE CONDITIONS

被引:0
作者
Govindan, T. E. [1 ]
机构
[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Dept Matemat, Mexico City 07738, DF, Mexico
关键词
EXPONENTIAL STABILITY; EXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the existence and uniqueness of mild solutions, and also the almost sure exponential stability of mild solutions of stochastic neutral partial functional differential equations in real separable Hilbert spaces using Holder type conditions on the nonlinear terms. The results obtained here generalize the main results from [Govindan, Stochastics 77 (2005), 139-154].
引用
收藏
页码:411 / 424
页数:14
相关论文
共 14 条
[1]  
Da Prato G, 1992, STOCHASTIC EQUATIONS
[2]  
Govindan T.E., 2005, Stochastics, V77, P139
[3]  
Govindan T. E., 2002, DIFFERENTIAL INTEGRA, V15, P103
[4]   Existence and stability of solutions of stochastic semilinear functional differential equations [J].
Govindan, TE .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) :1257-1280
[5]  
GOVINDAN TE, SAMPLE PATH EX UNPUB
[6]   Existence results for partial neutral functional differential equations with unbounded delay [J].
Hernandez, E ;
Henriquez, HR .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 221 (02) :452-475
[7]   STABILITY OF NEUTRAL-TYPE FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].
KOLMANOVSKY, VB ;
NOSOV, VR .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (09) :873-910
[8]   On the exponential stability in mean square of neutral stochastic functional differential equations [J].
Liu, K ;
Xia, XW .
SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :207-215
[9]  
Mao X., 2000, Stochastics Stochastics Reports, V68, P273, DOI [10.1080/17442500008834226, DOI 10.1080/17442500008834226]
[10]   Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations [J].
Mao, XR .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (02) :389-401