On the existence of a variational principle for an operator equation with second derivative with respect to ``time

DOI10.1007/s11006-006-0111-xzbMath1123.47050OpenAlexW2044136743MaRDI QIDQ881060

S. A. Budochkina, V. M. Savchin

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0111-x

zbMATH Keywords

variational principleNavier-Stokes equationVolterra equationGâteaux derivativeoperator potentialdifferential equations with operator coefficients

Mathematics Subject Classification ID

Related Items (5)

On connection between variationality of a six-order ordinary differential equation and Hamilton-Ostrogradskii equations ⋮ On infinite-dimensional Lagrangian systems with nonpotential forces ⋮ Nonclassical Hamilton’s Actions and the Numerical Performance of Variational Methods for Some Dissipative Problems ⋮ Bi-variationality, symmetries and approximate solutions ⋮ On the existence of variational principles for differential-difference evolution equations

Cites Work

• Mathematical methods in the mechanics of infinite-dimensional nonpotential systems.
• ON EIGENFUNCTIONS OF AN OPERATOR CORRESPONDING TO THE POLES OF THE ANALYTIC CONTINUATION OF THE RESOLVENT THROUGH THE CONTINUOUS SPECTRUM
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