Advances in Difference Equations
Volume 2006 (2006), Article ID 41962, 16 pages

Optimization Of discrete and differential inclusions of Goursat-Darboux type with state constraints

Elimhan N. Mahmudov

Department of Industrial Engineering, Engineering Faculty, Istanbul University, Avcilar, Istanbul 34850, Turkey

Received 14 October 2005; Revised 11 September 2006; Accepted 20 September 2006

Copyright © 2006 Elimhan N. Mahmudov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Necessary and sufficient conditions of optimality under the most general assumptions are deduced for the considered and for discrete approximation problems. Formulation of sufficient conditions for differential inclusions is based on proved theorems of equivalence of locally conjugate mappings.