Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2015; 30(3): 327-337

Printed July 31, 2015

https://doi.org/10.4134/CKMS.2015.30.3.327

Copyright © The Korean Mathematical Society.

Optimality conditions for optimal control governed by Belousov-Zhabotinskii reaction model

Sang-Uk Ryu

Jeju National University

Abstract

This paper is concerned with the optimality conditions for optimal control problem of Belousov-Zhabotinskii reaction model. That is, we obtain the optimality conditions by showing the differentiability of the solution with respect to the control. We also show the uniqueness of the optimal control.

Keywords: Belousov-Zhabotinskii reaction model, optimality conditions, uniqueness

MSC numbers: Primary 49K20