On the number of periodic solutions of a generalized pendulum equation

Zbyněk Kubáček; Boris Rudolf

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 2, page 197-208
  • ISSN: 0044-8753

Abstract

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For a generalized pendulum equation we estimate the number of periodic solutions from below using lower and upper solutions and from above using a complex equation and Jensen’s inequality.

How to cite

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Kubáček, Zbyněk, and Rudolf, Boris. "On the number of periodic solutions of a generalized pendulum equation." Archivum Mathematicum 041.2 (2005): 197-208. <http://eudml.org/doc/249475>.

@article{Kubáček2005,
abstract = {For a generalized pendulum equation we estimate the number of periodic solutions from below using lower and upper solutions and from above using a complex equation and Jensen’s inequality.},
author = {Kubáček, Zbyněk, Rudolf, Boris},
journal = {Archivum Mathematicum},
keywords = {generalized pendulum; number of solutions; Jensen’s inequality; number of solutions; Jensen's inequality},
language = {eng},
number = {2},
pages = {197-208},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the number of periodic solutions of a generalized pendulum equation},
url = {http://eudml.org/doc/249475},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Kubáček, Zbyněk
AU - Rudolf, Boris
TI - On the number of periodic solutions of a generalized pendulum equation
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 2
SP - 197
EP - 208
AB - For a generalized pendulum equation we estimate the number of periodic solutions from below using lower and upper solutions and from above using a complex equation and Jensen’s inequality.
LA - eng
KW - generalized pendulum; number of solutions; Jensen’s inequality; number of solutions; Jensen's inequality
UR - http://eudml.org/doc/249475
ER -

References

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  1. Counting real zeros of analytic functions satisfying linear ordinary differential equations, J. Differential Equations 126 (1996), 87–105. MR1382058
  2. Kratkij kurs teorii analitičeskich funkcij, Nauka Moskva 1978. (russian) MR0542281
  3. Points fixes, points critiques et probl‘emes aux limites, Sémin. Math. Sup. no. 92, Presses Univ. Montréal, Montréal 1985. MR0789982
  4. Seventy-five years of global analysis around the forced pendulum equation, Proceedings of the Conference Equadiff 9 (Brno, 1997), Masaryk Univ. 1998, pp. 861–876. 
  5. Counting periodic solutions of the forced pendulum equation, Nonlinear Analysis 42 (2000), 1055–1062. (2000) Zbl0967.34037MR1780454
  6. Upper and lower solutions and topological degree, JMAA 234 (1999), 311–327. (1999) MR1694813
  7. A multiplicity result for a generalized pendulum equation, Proceedings of the 4 Workshop on Functional Analysis and its Applications, Nemecká 2003, 53–57. 

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