Variational Principles for a Differential Difference Quasilinear Operator

The 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 equations, functional differentional equations, variational factor, inverse problem of the calculus of variations, variational principles, equations with deviating arguments