Remarks on some monotonicity conditions for the period function

• Autorzy: R. Chouikha , F. Cuvelier
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

ordinary differential equation; periodic solutions; period function

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1999
• Tom: 26
• Numer: 3
• Strony: 243-252

Daty

wydano

1999

otrzymano

1998-02-02

poprawiono

1998-12-20

Twórcy

autor

R. Chouikha

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

autor

F. Cuvelier

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

Bibliografia

• [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.