Some results on the minimal period problem of nonconvex second order Hamiltonian systems

Guihua Fei; Tixiang Wang

doi:10.1142/S0252959999000126

Some results on the minimal period problem of nonconvex second order Hamiltonian systems

Guihua Fei, Tixiang Wang

Mathematics & Statistics

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Abstract

The authors study the existence of periodic solutions with prescribed minimal period for superquadratic and asymptotically linear autonomous second order Hamiltonian systems without any convexity assumption. Using the variational methods, an estimate on the minimal period of the corresponding nonconstant periodic solution of the above-mentioned system is obtained.

Original language	English (US)
Pages (from-to)	83-92
Number of pages	10
Journal	Chinese Annals of Mathematics. Series B
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0252959999000126
State	Published - 1999

Keywords

Iteration inequality
Minimal period solutions
Second order hamiltonian systems
Variational method

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title = "Some results on the minimal period problem of nonconvex second order Hamiltonian systems",

abstract = "The authors study the existence of periodic solutions with prescribed minimal period for superquadratic and asymptotically linear autonomous second order Hamiltonian systems without any convexity assumption. Using the variational methods, an estimate on the minimal period of the corresponding nonconstant periodic solution of the above-mentioned system is obtained.",

keywords = "Iteration inequality, Minimal period solutions, Second order hamiltonian systems, Variational method",

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AU - Fei, Guihua

AU - Wang, Tixiang

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Y1 - 1999

N2 - The authors study the existence of periodic solutions with prescribed minimal period for superquadratic and asymptotically linear autonomous second order Hamiltonian systems without any convexity assumption. Using the variational methods, an estimate on the minimal period of the corresponding nonconstant periodic solution of the above-mentioned system is obtained.

AB - The authors study the existence of periodic solutions with prescribed minimal period for superquadratic and asymptotically linear autonomous second order Hamiltonian systems without any convexity assumption. Using the variational methods, an estimate on the minimal period of the corresponding nonconstant periodic solution of the above-mentioned system is obtained.

KW - Iteration inequality

KW - Minimal period solutions

KW - Second order hamiltonian systems

KW - Variational method

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Some results on the minimal period problem of nonconvex second order Hamiltonian systems

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Keywords

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