EXACT NULL CONTROLLABILITY OF ABSTRACT SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES

被引:19
作者
Park, J. Y. [1 ]
Balasubramaniam, P. [1 ]
机构
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 6B期
关键词
Exact null controllability; Integrodifferential equations; Semilinear stochastic evolution equation; Schauder fixed point theorem; SYSTEMS;
D O I
10.11650/twjm/1500405659
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Sufficient conditions for exact null controllability of the semilinear integrodifferential stochastic evolution equations in Hilbert space are obtained. It is shown that the exact null controllability of the corresponding linear system with additive term implies the exact null controllability of the semilinear functional integrodifferential stochastic evolution equations. An application to stochastic partial integrodifferential equations is given.
引用
收藏
页码:2093 / 2103
页数:11
相关论文
共 14 条
[1]  
ASTROM K. J., 1970, Introduction to stochastic control
[2]   Controllability of nonlinear systems in Banach spaces: A survey [J].
Balachandran, K ;
Dauer, JP .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 115 (01) :7-28
[3]  
Balasubramaniam P., 2005, INT J PURE APPL MATH, V19, P281
[4]  
BHARUCHAREID AT, 1982, RANDOM INTEGRAL EQUA
[5]  
Curtain R. F., 1995, An introduction to infinite dimensional linear systems theory
[6]  
Da Prato G, 1992, STOCHASTIC EQUATIONS
[7]   Exact null controllability of semilinear integrodifferential systems in Hilbert spaces [J].
Dauer, JP ;
Mahmudov, NI .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (02) :322-332
[8]   CONTROLLABILITY OF LINEAR STOCHASTIC-SYSTEMS [J].
EHRHARDT, M ;
KLIEMANN, W .
SYSTEMS & CONTROL LETTERS, 1982, 2 (03) :145-153
[9]  
Grecksch W., 1995, Stochastic Evolution Equations: A Hilbert Space Approach
[10]  
KECK DN, 2003, J APPL MATH STOCH AN, V16, P127