Dimplekumar N. Chalishajar, Raju K. George
Abstract:
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 email: dipu17370@yahoo.com, dimple.chalishajar@gmail.com |
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Raju K. George Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA email: rkgeorgemsu@yahoo.com |
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