Optimality conditions for discrete calculus of variations problems

Abstract

Nonlinear discrete calculus of variations problems with variable endpoints and with equality type constraints on trajectories are considered. We derive new nontrivial first-and second-order necessary optimality conditions.

Optimality Conditions for Discrete Optimal Control Problems

“…Recently, the study of sufficient optimality conditions of the optimal control problems has received much attention from many authors (see for example [1,2] and the references therein). In the same time, the study of the optimality conditions of discrete optimal control problems is also of interest to many researchers (see, for example [3][4][5][6][7][8], and the references therein).…”