Remarks on some monotonicity conditions for the period function
Applicationes Mathematicae (1999)
- Volume: 26, Issue: 3, page 243-252
- ISSN: 1233-7234
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Abstract
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topChouikha, R., and Cuvelier, F.. "Remarks on some monotonicity conditions for the period function." Applicationes Mathematicae 26.3 (1999): 243-252. <http://eudml.org/doc/219236>.
@article{Chouikha1999,
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.},
author = {Chouikha, R., Cuvelier, F.},
journal = {Applicationes Mathematicae},
keywords = {ordinary differential equation; periodic solutions; period function; monotonicity; planar Hamiltonian systems},
language = {eng},
number = {3},
pages = {243-252},
title = {Remarks on some monotonicity conditions for the period function},
url = {http://eudml.org/doc/219236},
volume = {26},
year = {1999},
}
TY - JOUR
AU - Chouikha, R.
AU - Cuvelier, F.
TI - Remarks on some monotonicity conditions for the period function
JO - Applicationes Mathematicae
PY - 1999
VL - 26
IS - 3
SP - 243
EP - 252
AB - We are interested in the optimality of monotonicity criteria for the period function of some planar Hamiltonian systems. This study is illustrated by examples.
LA - eng
KW - ordinary differential equation; periodic solutions; period function; monotonicity; planar Hamiltonian systems
UR - http://eudml.org/doc/219236
ER -
References
top- [1] C. Chicone, The monotonicity of the period for planar hamiltonian vector fields, J. Differential Equations 69 (1987), 310-321. Zbl0622.34033
- [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. Zbl0872.34026
- [3] F. Rothe, Remarks on periods of planar hamiltonian systems, SIAM J. Math. Anal. 24 (1993), 129-154. Zbl0769.34032
- [4] R. Schaaf, A class of hamiltonian systems with increasing periods, J. Reine Angew. Math. 363 (1985), 96-109. Zbl0565.34037
- [5] R. Schaaf, Global Solution Branches of Two Point Boundary Value Problems, Lecture Notes in Math. 1458, Springer, 1990. Zbl0780.34010
- [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. Zbl0603.34034
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