# 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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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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