Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2012; 49(5): 881-891

Printed September 1, 2012

https://doi.org/10.4134/JKMS.2012.49.5.881

Copyright © The Korean Mathematical Society.

Controllability for nonlinear variational evolution inequalities

Jong Yeoul Park, Jin-Mun Jeong, and Hyun-Hee Rho

Pusan National University, Pukyong National University, Pukyong National University

Abstract

In this paper we investigate the approximate controllability for the following nonlinear functional differential control problem: $$ x'(t)+Ax(t)+ \partial \phi (x(t)) \ni f(t,x(t))+h(t) $$ which is governed by the variational inequality problem with nonlinear terms.

Keywords: approximate controllability, variational inequality, subdifferential operator, degree theory

MSC numbers: Primary 49J40, 93C20