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http://dx.doi.org/10.4134/BKMS.b160848

CONTROLLABILITY FOR TRAJECTORIES OF SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS  

Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University)
Kang, Yong Han (Institute of Liberal Education Catholic University of Daegu)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 63-79 More about this Journal
Abstract
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;
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