We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On infinite-dimensional Lagrangian systems with nonpotential forces.
- Authors
Budochkina, S.; Savchin, V.
- Abstract
The article discusses the representability of the Euler-Lagrange equations that has nonpotential force densities. It states that studies were conducted on equations with finite-dimensional systems of motion with gyroscopic or dissipative forces. It mentions that an operator equation was used with the second time derivative consisting of linear and arbitrary operators. Furthermore, a theorem was also used which sets the operator N that is defined by an equation, as a generalized Bu-potential operator.
- Subjects
EULER-Lagrange system; LAGRANGE equations; REPRESENTATION theory; FUNCTIONAL representation; NUMERICAL solutions to operator equations; ARBITRARY constants; MATHEMATICS theorems; ENERGY dissipation; LINEAR operators; FORCE density; MATHEMATICAL models
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 1, p110
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413010304