On connection between variational symmetries and algebraic structures

DOI10.13108/2021-13-1-46zbMath1474.47093OpenAlexW3153757674MaRDI QIDQ4988662

S. A. Budochkina

Publication date: 18 May 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa550

zbMATH Keywords

Lie algebracommutatorvariational symmetryLie-admissible algebra\((\mathscr{S},\mathscr{T})\)-product\(\mathscr{G}\)-commutatortransformation generator

Mathematics Subject Classification ID

Symmetries and conservation laws in mechanics of particles and systems (70S10) Potential operators (47G40)

Related Items (1)

Bi-variationality, symmetries and approximate solutions

Cites Work

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• Symmetries and first integrals in the mechanics of infinite-dimensional systems
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• Mathematical methods in the mechanics of infinite-dimensional nonpotential systems.
• Helmholtz potentiality conditions for systems of difference-differential equations
• On the structure of a Lie-admissible algebra in the space of Gâteaux differentiable operators
• On connection between symmetries of functionals and equations
• On the solvability of the main inverse problem for stochastic differential systems
• Lie-admissible algebras associated with dynamical systems
• Invariance of functionals and related Euler-Lagrange equations
• On the existence of variational principles for differential-difference evolution equations

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