Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8525Research ArticleVariational Principles for a Differential Difference Quasilinear OperatorKolesnikovaI ADepartment Mathematical Analisys and Theory of Functionsvipkolesnikov@mail.ruPeoples’ Friendship University of Russia15022013252108092016Copyright © 2013,2013The purpose of the present paper is to investigate the potentiality of the operator of differential difference equations and to construct the functional, if the given operator is a potential on a given set relatively to the some bilinear form. Method of construction of variational factor is suggested.differential difference equationsfunctional differentional equationsvariational factorinverse problem of the calculus of variationsvariational principlesequations with deviating argumentsдифференциально-разностные уравненияфункционально- дифференциальные уравнениявариационный множительобратная задача вариационного исчислениявариационный принципуравнения с отклоняющимися аргументами