NECESSARY CONDITIONS FOR OPTIMALITY IN ONE NONSMOOTH OPTIMAL CONTROL PROBLEM FOR GOURSAT-DARBOUX SYSTEMS

Aysel T.Ramazanova

Aysel T.Ramazanova University Duisburg-Essen, Faculty Mathematics, Non-linear Optimization, Thea-Leymann Str.9, D-45127 Essen,Germany

Article ID: 2456

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Keywords: optimal control, necessary conditions, hyperbolic equations

Abstract

We consider a nonsmooth optimal control problem described by a system of second-order hyperbolic equations with Goursat boundary conditions. A number of necessary optimality conditions are proved in terms of directional derivatives.

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