Invariance of functionals and related Euler-Lagrange equations

DOI10.3103/S1066369X17020062zbMath1370.35027MaRDI QIDQ2399418

S. A. Budochkina, V. M. Savchin

Publication date: 23 August 2017

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetryLie algebraHamiltonian action

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Group actions and symmetry properties (58D19) Variational aspects of group actions in infinite-dimensional spaces (58E40) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

Bi-variationality, symmetries and approximate solutions ⋮ On the solvability of stochastic Helmholtz problem ⋮ On the solvability of the main inverse problem for stochastic differential systems ⋮ On connection between variational symmetries and algebraic structures ⋮ Lie-admissible algebras associated with dynamical systems

Cites Work

• Variational symmetries of Euler and non-Euler functionals
• Symmetries and first integrals in the mechanics of infinite-dimensional systems
• Variational principles for nonpotential operators
• Mathematical methods in the mechanics of infinite-dimensional nonpotential systems.
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