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Periodic solutions to Lagrangian system

Oleg Zubelevich

Commentationes Mathematicae Universitatis Carolinae (2018)

  • Volume: 59, Issue: 2, page 241-251
  • ISSN: 0010-2628

Abstract

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A classical mechanics Lagrangian system with even Lagrangian is considered. The configuration space is a cylinder m × 𝕋 n . A large class of nonhomotopic periodic solutions has been found.

How to cite

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Zubelevich, Oleg. "Periodic solutions to Lagrangian system." Commentationes Mathematicae Universitatis Carolinae 59.2 (2018): 241-251. <http://eudml.org/doc/294401>.

@article{Zubelevich2018,
abstract = {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.},
author = {Zubelevich, Oleg},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lagrangian system; periodic solution},
language = {eng},
number = {2},
pages = {241-251},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Periodic solutions to Lagrangian system},
url = {http://eudml.org/doc/294401},
volume = {59},
year = {2018},
}

TY - JOUR
AU - Zubelevich, Oleg
TI - Periodic solutions to Lagrangian system
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 2
SP - 241
EP - 251
AB - 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.
LA - eng
KW - Lagrangian system; periodic solution
UR - http://eudml.org/doc/294401
ER -

References

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  1. Adams R. A., Fournier J. J. F., Sobolev Spaces, Pure and Applied Mathematics (Amsterdam), 140, Elsevier/Academic Press, Amsterdam, 2003. Zbl1098.46001MR2424078
  2. Capozzi A., Fortunato D., Salvatore A., 10.1016/0022-247X(87)90009-6, J. Math. Anal. Appl. 124 (1987), no. 2, 482–494. MR0887004DOI10.1016/0022-247X(87)90009-6
  3. Edwards R., Functional Analysis. Theory and Applications, Holt, Rinehart and Winston, New York, 1965. MR0221256
  4. Ekeland I., Témam R., Convex Analysis and Variational Problems, Classics in Applied Mathematics, 28, Society for Industrial and Applied Mathematics, Philadelphia, 1999. MR1727362
  5. Mawhin J., Willem M., 10.1007/978-1-4757-2061-7, Applied Mathematical Sciences, 74, Springer, New York, 1989. MR0982267DOI10.1007/978-1-4757-2061-7
  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. MR2431434

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