On periodic solutions of superquadratic Hamiltonian systems

Guihua Fei

On periodic solutions of superquadratic Hamiltonian systems

Guihua Fei

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

We study the existence of periodic solutions for some Hamiltonian systems ż = JH_z(t,z) under new superquadratic conditions which cover the case H(t,z) = |z|²(ln(1 + |z|^p))^q with p, q > 1. By using the linking theorem, we obtain some new results. Key words: periodic solution, Hamiltonian system, linking theorem.

Original language	English (US)
Pages (from-to)	XCLXI-XCLXII
Journal	Electronic Journal of Differential Equations
Volume	2002
State	Published - 2002

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@article{156340242f434cdf9efe96cbdfd7fa32,

title = "On periodic solutions of superquadratic Hamiltonian systems",

abstract = "We study the existence of periodic solutions for some Hamiltonian systems {\.z} = JHz(t,z) under new superquadratic conditions which cover the case H(t,z) = |z|2(ln(1 + |z|p))q with p, q > 1. By using the linking theorem, we obtain some new results. Key words: periodic solution, Hamiltonian system, linking theorem.",

author = "Guihua Fei",

year = "2002",

language = "English (US)",

volume = "2002",

pages = "XCLXI--XCLXII",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - On periodic solutions of superquadratic Hamiltonian systems

AU - Fei, Guihua

PY - 2002

Y1 - 2002

N2 - We study the existence of periodic solutions for some Hamiltonian systems ż = JHz(t,z) under new superquadratic conditions which cover the case H(t,z) = |z|2(ln(1 + |z|p))q with p, q > 1. By using the linking theorem, we obtain some new results. Key words: periodic solution, Hamiltonian system, linking theorem.

AB - We study the existence of periodic solutions for some Hamiltonian systems ż = JHz(t,z) under new superquadratic conditions which cover the case H(t,z) = |z|2(ln(1 + |z|p))q with p, q > 1. By using the linking theorem, we obtain some new results. Key words: periodic solution, Hamiltonian system, linking theorem.

UR - https://www.scopus.com/pages/publications/52449088966

UR - https://www.scopus.com/pages/publications/52449088966#tab=citedBy

M3 - Article

AN - SCOPUS:52449088966

SN - 1072-6691

VL - 2002

SP - XCLXI-XCLXII

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

On periodic solutions of superquadratic Hamiltonian systems

Abstract

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