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Received January 19, 2018; Accepted June 21, 2018; Published July 14, 2018
Abstract. We are concerned with sufficient conditions of optimality for third order polyhedral optimization described by polyhedral differential inclusions. The goal of this paper is to derive sufficient conditions of optimality for Lagrange and Bolza problem with boundary value constraint. Sufficient conditions, including distinctive transversality ones, are formulated by incorporating the Euler-Lagrange type of inclusions. The applications of these results are demonstrated by solving the problems with third order linear differential inclusions.
How to Cite this Article:
Sevilay Demir Sağlam, Elimhan Mahmudov, Optimization of boundary value problems for third order polyhedral differential inclusions, Communications in Optimization Theory, Vol. 2018 (2018), Article ID 17, pp. 1-9.