On the construction of a variational principle for a certain class of differential-difference operator equations

DOI10.1007/S10958-024-06908-5MaRDI QIDQ6186373

I. A. Kolesnikova

Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

inverse problemvariational principlecalculus of variationspotential operatordifferential-difference equationsdirect variational formulationcriterion of potentiality

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Optimality conditions for problems involving ordinary differential equations (49K15) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

• Variational principles for nonpotential operators
• On variational formulations for functional differential equations
• Elliptic functional differential equations and applications
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