Abstract
THE method of local variations outlined in [1] was developed in detail and standardized in [2, 3] for variational problems involving integral functionals, depending on functions of one or more variables. A variety of problems solvable by this method may be found in these papers, and also in [4, 5] etc. In the present paper we develop an algorithm of a method of local variations for problems involving non-additive functionals (the functional to be minimized is a function of several integral functionals). Convergence conditions are given, and the results of a numerical solution of some variational problems are described.
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