The Problem of Mayer for Discrete and Differential Inclusions with Initial Boundary Constraints

Authors

Gulseren Cicek, Istanbul University, Faculty of Science, Department of Mathematics, 34134, Istanbul, TurkeyFollow
Elimhan Mahmudov, Istanbul Technical University,Mac¸ka Istanbul, 34367, Turkey, Azerbaijan National Academy of Sciences Institute of Control Systems, AzerbaijanFollow

Author Country (or Countries)

Turkey

Abstract

In the present paper we consider the Mayer Problem for Second Order Differential Inclusions with initial boundary constraints. We derive the approximation conditions for the problem. Locally adjoint mapping is our basic tool to formulate necessary and sufficient conditions for the optimality of the discrete approximation problem. Then by passing to the limit, sufficient optimality conditions to the optimal problem described by differential inclusions are established.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100510

Recommended Citation

Cicek, Gulseren and Mahmudov, Elimhan (2016) "The Problem of Mayer for Discrete and Differential Inclusions with Initial Boundary Constraints," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 10.
DOI: http://dx.doi.org/10.18576/amis/100510
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/10