| Title:
|
Periodic solutions to Lagrangian system (English) |
| Author:
|
Zubelevich, Oleg |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
241-251 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A classical mechanics Lagrangian system with even Lagrangian is considered. The configuration space is a cylinder $\mathbb{R}^m\times\mathbb{T}^n$. A large class of nonhomotopic periodic solutions has been found. (English) |
| Keyword:
|
Lagrangian system |
| Keyword:
|
periodic solution |
| MSC:
|
34C25 |
| MSC:
|
70F20 |
| idZBL:
|
Zbl 06940867 |
| idMR:
|
MR3815689 |
| DOI:
|
10.14712/1213-7243.2015.243 |
| . |
| Date available:
|
2018-06-28T08:47:36Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147253 |
| . |
| Reference:
|
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| Reference:
|
[2] Capozzi A., Fortunato D., Salvatore A.: Periodic solutions of Lagrangian systems with bounded potential.J. Math. Anal. Appl. 124 (1987), no. 2, 482–494. MR 0887004, 10.1016/0022-247X(87)90009-6 |
| Reference:
|
[3] Edwards R.: Functional Analysis. Theory and Applications.Holt, Rinehart and Winston, New York, 1965. MR 0221256 |
| Reference:
|
[4] Ekeland I., Témam R.: Convex Analysis and Variational Problems.Classics in Applied Mathematics, 28, Society for Industrial and Applied Mathematics, Philadelphia, 1999. MR 1727362 |
| Reference:
|
[5] Mawhin J., Willem M.: Critical Point Theory and Hamiltonian Systems.Applied Mathematical Sciences, 74, Springer, New York, 1989. MR 0982267, 10.1007/978-1-4757-2061-7 |
| Reference:
|
[6] Struwe M.: Variational Methods.Applications to Nonlinear partial Differential Equations and Hamiltonian Systems, Results in Mathematics and Related Areas, 3rd Series, A Series of Modern Surveys in Mathematics, 34, Springer, Berlin, 2008. MR 2431434 |
| . |
