On the existence of variational principles for differential--difference evolution equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 25-39

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The problem of existence of variational principles for wide classes of generally nonlinear differential-difference equations with nonpotential operators is investigated.
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     author = {V. M. Filippov and V. M. Savchin and S. A. Budochkina},
     title = {On the existence of variational principles for differential--difference evolution equations},
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V. M. Filippov; V. M. Savchin; S. A. Budochkina. On the existence of variational principles for differential--difference evolution equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 25-39. http://geodesic.mathdoc.fr/item/TM_2013_283_a2/