Periodic solutions to Lagrangian system

Oleg Zubelevich

Commentationes Mathematicae Universitatis Carolinae (2018)

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

Abstract

top
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

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.