Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2018; 55(1): 63-79

Online first article July 26, 2017      Printed January 31, 2018

https://doi.org/10.4134/BKMS.b160848

Copyright © The Korean Mathematical Society.

Controllability for trajectories of semilinear functional differential equations

Jin-Mun Jeong, Yong Han Kang

Pukyong National University, Catholic University of Daegu

Abstract

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In this paper, we first consider the existence and regularity of solutions of the semilinear control system under natural assumptions such as the local Lipschtiz continuity of nonlinear term. Thereafter, we will also establish the approximate controllability for the equation when the corresponding linear system is approximately controllable.

Keywords: approximate controllability, semilinear control system, local lipschtiz continuity, controller operator, reachable set

MSC numbers: Primary 35B37; Secondary 93C20

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