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

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.