Null controllability of semilinear integrodifferential systems in Banach space

被引:26
作者
Dauer, JP [1 ]
Balasubramaniam, P [1 ]
机构
[1] KONGU ENGN COLL,DEPT MATH,PERUNDURAI,TAMIL NADU,INDIA
关键词
controllability; semilinear systems; integrodifferential systems;
D O I
10.1016/S0893-9659(97)00114-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sufficient conditions for null controllability of semilinear integrodifferential systems with unbounded linear operators in Banach space are established. The results are obtained using semigroup of linear operators, fractional powers of operators, and the Schauder fixed point theorem. An application to partial integrodifferential equations is given.
引用
收藏
页码:117 / 123
页数:7
相关论文
共 9 条
[1]   Local null controllability of nonlinear functional differential systems in Banach space [J].
Balachandran, K ;
Balasubramaniam, P ;
Dauer, JP .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 88 (01) :61-75
[2]  
DAUER JP, IN PRESS J MATH SYST
[3]   ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO A CLASS OF VOLTERRA INTEGRODIFFERENTIAL EQUATIONS [J].
FITZGIBBON, WE .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 146 (01) :241-253
[4]  
FRIEDMAN A., 1969, Partial Differential Equations
[5]  
Kwun Y.C., 1991, B KOREAN MATH SOC, V28, P131
[6]   ON CONTROLLABILITY FOR A NONLINEAR VOLTERRA EQUATION [J].
NAITO, K .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (01) :99-108
[7]  
NAKAGIRI S, 1989, INT J CONTROL, V49, P1489, DOI 10.1080/00207178908961331
[8]  
Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]