Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems
type: Item
instance of: scholarly article
title: Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems
zbMATH Open document ID: 1064.34026
author: Shang-Jie Chen
author: Chun-Lei Tang
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-10-01T00:00:00Z
review text: The authors study a class of nonautonomous Hamiltonian systems. By using minimax methods in critical point theory, an existence result for nontrivial T-periodic solutions is obtained which unifies and generalizes Theorem 0.1 in [\textit{P. L. Felmer}, J. Differ. Equations 102, No. 1, 188--207 (1993; Zbl 0781.34034)], Theorem 2.49 in [\textit{P. H. Rabinowitz}, J. Differ. Equations 50, 33--48 (1983; Zbl 0528.58028)] and Corollary 1.5 in [\textit{P. H. Rabinowitz}, Commun. Pure Appl. Math. 33, 609--633 (1980; Zbl 0425.34024)]. The second result states the existence of infinitely many distinct subharmonic solutions.
reviewed by: Yuji Liu
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37J45
zbMATH DE Number: 2105440
zbMATH Keywords: periodic solutions
zbMATH Keywords: subharmonic solutions
zbMATH Keywords: superquadratic Hamiltonian
zbMATH Keywords: systems
zbMATH Keywords: minimax method
zbMATH Keywords: truncating argument
zbMATH Keywords: critical point
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.05.006
OpenAlex ID: W1999974590
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DOI: 10.1016/J.JMAA.2004.05.006
description: scientific article; zbMATH DE number 2105440