Exact controllability of generalized Hammerstein type integral equation and applications
Date
2006-11-09
Authors
Chalishajar, Dimplekumar N.
George, Raju K.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation
x(t) = ∫t0 h(t, s)u(s)ds + ∫t0k(t, s, x)ƒ(s, x(s))ds, 0 ≤ t ≤ T < ∞,
where, the state x(t) lies in a Hilbert space H and control u(t) lies another Hilbert space V for each time t ∈ I = [0, T], T > 0. We establish the controllability result under suitable assumptions on h, k and ƒ using the monotone operator theory.
Description
Keywords
Exact controllability, Hammerstein type integral equation, Monotone operator, Solution operator
Citation
Chalishajar, D. N., & George, R. K. (2006). Exact controllability of generalized Hammerstein type integral equation and applications. <i>Electronic Journal of Differential Equations, 2006</i>(142), pp. 1-15.
Rights
Attribution 4.0 International