Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2011; 48(1): 1-8

Printed January 1, 2011

https://doi.org/10.4134/BKMS.2011.48.1.1

Copyright © The Korean Mathematical Society.

Approximate controllability for differential equations with quasi-autonomous operators

Jin-Mun Jeong, Eun Young Ju, and Yong Han Kang

Pukyong National University, Pukyong National University, University of Ulsan

Abstract

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

Keywords: approximate controllability, regularity, reachable set, compact embedding, degree theory

MSC numbers: Primary 35B37, 35F25, 93C20