This article is cited in 2 papers

Brief communications

An optimal control problem for a nonlinear elliptic equation with a phase constraint and state variation

S. Ya. Serovaiskii

Chair of the Differential Equations and the Control Theory, al-Farabi Kazakh National University, 71 al-Farabi str., Almaty, 050078 Republic of Kazakhstan

Abstract: We study an optimal control problem for a system described by a nonlinear elliptic equation with a state constraint in the form of an inclusion. We prove the solvability of the problem under consideration and by varying the state of the system obtain necessary optimality conditions.

Keywords: optimization, nonlinear elliptic equation, phase constraint, state variation.

UDC: 571.977

Presented by the member of Editorial Board: V. A. Srochko
Received: 31.12.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:9, 67–70

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