Advances in Difference Equations 
Volume 2006 (2006), Article ID 41962, 16 pages
doi:10.1155/ADE/2006/41962

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

Abstract

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.