Dimplekumar N. Chalishajar, Raju K. George
In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation
where, the state lies in a Hilbert space and control lies another Hilbert space for each time , . We establish the controllability result under suitable assumptions on and using the monotone operator theory.
Submitted April 23, 2006. Published November 9, 2006.
Math Subject Classifications: 93B05, 93C10.
Key Words: Exact controllability; Hammerstein type integral equation; monotone operator; solution operator.
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| Dimplekumar N. Chalishajar |
Department of Applied Mathematics
Sardar Vallabhbhai Patel Institute of Technology (SVIT)
Gujarat University, Vasad-388306. Gujarat State, India
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| Raju K. George |
Department of Mathematical Sciences
University of Delaware, Newark, DE 19716, USA
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