On the existence of variational principles for differential-difference evolution equations

DOI10.1134/S0081543813080038zbMath1296.49033OpenAlexW2015534103MaRDI QIDQ2446232

S. A. Budochkina, V. M. Savchin, V. M. Filippov

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813080038

zbMATH Keywords

variational principlesinverse problem of the calculus of variationspartial differential-difference equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Existence theories for optimal control problems involving partial differential equations (49J20) Inverse problems in optimal control (49N45) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (4)

Bi-variationality, symmetries and approximate solutions ⋮ Vladimir Mikhailovich Filippov ⋮ ON THE POTENTIALITY OF A CLASS OF OPERATORS RELATIVE TO LOCAL BILINEAR FORMS ⋮ On connection between variational symmetries and algebraic structures

Cites Work

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• On the existence of variational principles for a class of the evolutionary differential-difference equations
• On the existence of a variational principle for an operator equation with second derivative with respect to ``time
• On the structure of a variational equation of evolution type with the second \(t\)-derivative
• Variational principles for nonpotential operators
• On variational formulations for functional differential equations
• On indirect variational formulations for operator equations

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