Existence of solutions of nonlinear neutral stochastic differential inclusions in a Hilbert space

被引:27
作者
Balasubramaniam, P [1 ]
Vinayagam, D [1 ]
机构
[1] Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
关键词
multivalued map; neutral stochastic differential inclusions; existence; fixed point; Hilbert space;
D O I
10.1081/SAP-200044463
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence of mild solutions of a class of non-linear neutral stochastic differential inclusions in Hilbert space is studied. The results are obtained by using a new fixed point theorem for a condensing map due to Martelli. For an application of the result, the neutral stochastic reaction-diffusion inclusion is also discussed.
引用
收藏
页码:137 / 151
页数:15
相关论文
共 15 条
[1]   NONLINEAR STOCHASTIC DIFFERENTIAL-INCLUSIONS ON BANACH-SPACE [J].
AHMED, NU .
STOCHASTIC ANALYSIS AND APPLICATIONS, 1994, 12 (01) :1-10
[2]  
AHMED NU, 1992, P 1 WORLD C NONL AN, P1699
[3]  
Aubin J.-P., 1984, DIFFERENTIAL INCLUSI, V264
[4]  
Balasubramaniam P., 2002, TAMKANG J MATH, V33, P35, DOI DOI 10.5556/J.TKJM.33.2002.302
[5]  
BANAS J, 1980, LECT NOT PURE APPL M, V60
[6]  
Bohnenblust H.F., 1950, THEOREM VILLE CONTRI, P155
[7]  
Deimling K., 1985, NONLINEAR FUNCTIOINA
[8]  
Deimling K., 1992, MULTIVALUED DIFFEREN, DOI DOI 10.1515/9783110874228
[9]  
Hu S., 1997, THEORY APPL FRACTION
[10]   ON THE EXISTENCE OF PERIODIC-SOLUTIONS FOR NONCONVEX-VALUED DIFFERENTIAL-INCLUSIONS IN R(N) [J].
HU, SC ;
PAPAGEORGIOU, NS .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (10) :3043-3050