Georgian Mathematical Journal 13 (2006), No. 1, 011--024
Copyright Heldermann Verlag 2006
Controllability of Sobolev Type Semilinear Functional Differential and Integrodifferential Inclusions with an Unbounded Delay
Yong-Kui Chang
School of Mathematics, Physics & Software Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, P. R. China
and: School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China
lzchangyk@163.com
Wan-Tong Li
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China
wtli@lzu.edu.cn
Sufficient conditions are established for the controllability of Sobolev type semilinear functional differential and integrodifferential inclusions with an unbounded delay in Banach spaces. The main results are obtained by using the fixed point theorem for condensing maps due to Martelli.
Keywords: Controllability, Sobolev type functional differential and integrodifferential inclusions, unbounded delay.
MSC: 34A60, 34A37
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