Chalishajar, Dimplekumar N.George, Raju K.2021-07-212021-07-212006-11-09Chalishajar, 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. 1-15.1072-6691https://hdl.handle.net/10877/14015In 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.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalExact controllabilityHammerstein type integral equationMonotone operatorSolution operatorArticle