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http://dx.doi.org/10.14317/jami.2012.30.1_2.173

APPROXIMATE CONTROLLABILITY FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS  

Jeong, Jin-Mun (Division of Mathematical Sciences, Pukyong National University)
Rho, Hyun-Hee (Department of Mathematics, Pusan National University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.1_2, 2012 , pp. 173-181 More about this Journal
Abstract
In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.
Keywords
approximate controllability; parabolic variational inequalities; subdifferential operator; degree theory;
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