Download PDF - Remarks on some monotonicity conditions for the period functionAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Remarks on some monotonicity conditions for the period function

Authors 1, 1

Affiliations

  1. Institut Galilée, LAGA CNRS UMR 7539, Université Paris XIII, 93430 Villetaneuse, France

Abstract

We are interested in the optimality of monotonicity criteria for the period function of some planar Hamiltonian systems. This study is illustrated by examples.

Keywords

ENG
ordinary differential equation, periodic solutions, period function

Bibliography

  1. C. Chicone, The monotonicity of the period for planar hamiltonian vector fields, J. Differential Equations 69 (1987), 310-321.
  2. A. Kelfa and R. Chouikha, Monotonicity conditions for the period function of some planar hamiltonian systems, Comm. Appl. Nonlinear Anal. 4 (1996), no. 3, 99-120.
  3. F. Rothe, Remarks on periods of planar hamiltonian systems, SIAM J. Math. Anal. 24 (1993), 129-154.
  4. R. Schaaf, A class of hamiltonian systems with increasing periods, J. Reine Angew. Math. 363 (1985), 96-109.
  5. R. Schaaf, Global Solution Branches of Two Point Boundary Value Problems, Lecture Notes in Math. 1458, Springer, 1990.
  6. D. Wang and S. N. Chow, On the monotonicity of the period function of some second order equations, Časopis Pěst. Mat. 111 (1986), 14-25.
Applicationes Mathematicae
1999/26/3
Export to PBN, Opens in new tab
Pages:
243-252
Main language of publication
English
Received
1998-02-02
Accepted
1998-12-20
Published
1999
Exact and natural sciences