Exact controllability of generalized Hammerstein type integral equation and applications

In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation $$ x(t) = int_0^t h(t,s)u(s)ds+ int_0^t k(t,s,x)f(s,x(s))ds, quad 0 leq t leq T less than infty, $$ where, the state $x(t)$ lies in a Hilbert space $H$...

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Bibliographic Details
Main Authors: Dimplekumar N. Chalishajar, Raju K. George
Format: Article
Language:English
Published: Texas State University 2006-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/142/abstr.thml