Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. II. Existence theorems for weak solutions

Abstract

Introduction. In the present paper II we prove existence theorems for weak optimal solutions of nonparametric Lagrange problems with (or without) unilateral constraints. In paper I ([le] of the reference list) we considered arbitrary pairs x(t), u(t) of vector functions, u(t) measurable with values in Em, x(t) absolutely continuous with values in En, and we discussed the existence of the absolute minimum of the functional