On infinite-dimensional Lagrangian systems with nonpotential forces

DOI10.1134/S1064562413010304zbMath1294.70011OpenAlexW1972384041MaRDI QIDQ352182

V. M. Savchin, S. A. Budochkina

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562413010304

Mathematics Subject Classification ID

Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Dynamical systems in classical and celestial mechanics (37N05) Lagrange's equations (70H03)

Related Items (1)

On quasipotential operators and Hamiltonian-admissible equations in the mechanics of infinite-dimensional systems

Cites Work

• The inverse problem for Lagrangian systems with certain non-conservative forces
• Second-order dynamical systems of Lagrangian type with dissipation
• On the existence of a variational principle for an operator equation with second derivative with respect to ``time
• Mathematical methods in the mechanics of infinite-dimensional nonpotential systems.
• On indirect variational formulations for operator equations
• A generalization of the Helmholtz conditions for the existence of a first-order Lagrangian
• On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
• A generalization of the Helmholtz conditions for the existence of a first-order Lagrangian using nonholonomic velocities

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