Controllability for semilinear integrodifferential control systems with unbounded operators

被引:0
作者
Jeong, Jin-Mun [1 ]
Son, Sang-Jin [1 ]
机构
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
关键词
semilinear integrodifferential control system; approximate controllability; compactness; topological degree theory; reachable set; EQUATIONS;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we deal with approximate controllability for semilinear integrodifferential control systems with unbounded operators and nonlinear integral terms by using the homotopy property of topological degree theory. Our method is to apply for the compactness of the solution mapping under the natural assumptions on inclusion relations of state spaces by using the known Sobolev's imbedding theorem and a variation of solutions of the given system.
引用
收藏
页码:642 / 650
页数:9
相关论文
共 12 条
[1]  
[Anonymous], 2021, NONLINEAR FUNCTIONAL
[2]  
AUBIN JP, 1963, CR HEBD ACAD SCI, V256, P5042
[3]  
Barbu V., 1976, Nonlinear semigroups and differential equations in Banach spaces
[4]   Approximate controllability of a system of parabolic equations with delay [J].
Carrasco, Alexander ;
Leiva, Hugo .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :845-853
[5]   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
[6]   Approximate controllability for semilinear retarded functional differential equations [J].
Jeong J.M. ;
Kwun Y.C. ;
Park J.Y. .
Journal of Dynamical and Control Systems, 1999, 5 (3) :329-346
[7]  
Jeong J. M., 2012, J APPL MATH INFORM, V30, P173
[9]  
Tanabe H., 1979, Equations of Evolution
[10]  
Triebel H., 1978, Interpolation Theory, Function Spaces, Differential Operators, VSec