Article
KYUNGPOOK Math. J. 2019; 59(2): 241-258
Published online June 23, 2019
Copyright © Kyungpook Mathematical Journal.
Null Controllability of Semilinear Integrodifferential Control Systems in Hilbert Spaces
Ah-ran Park and Jin-Mun Jeong∗
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
e-mail : alanida@naver.com and jmjeong@pknu.ac.kr
Received: March 8, 2018; Revised: June 18, 2018; Accepted: June 26, 2018
In this paper, we deal with the null controllability of semilinear functional integrodifferential control systems under the Lipschitz continuity of nonlinear terms. Moreover, we establish the regularity and a variation of constant formula for solutions of the given control systems in Hilbert spaces.
Keywords: controllability, semilinear control system, regularity for solution, analytic semigroup, integrodifferential control system.