Iteration inequalities of the Maslov-type index theory with applications
type: Item
instance of: scholarly article
title: Iteration inequalities of the Maslov-type index theory with applications
zbMATH Open document ID: 0961.37017
published in: Journal of Differential Equations
publication date: 2001-02-06T00:00:00Z
review text: The authors establishes various inequalities for the Maslov-type index for the iteration of paths starting at the identity of the symplectic group. As applications of these inequalities, the authors prove some existence results for periodic solutions, with prescribed minimal period, of a class of autonomous Hamiltonian systems of the form \(J\dot x=Bx+H'(x)\), \(x\in I R^{2n}\), with \(B:I R^{2n}\to I R^{2n}\) a symmetric endomorphism and \(H\) of class \(C^2\).
reviewed by: Paolo Piccione
Mathematics Subject Classification ID: 37J10
Mathematics Subject Classification ID: 53D12
zbMATH DE Number: 1525501
zbMATH Keywords: Maslov type index
zbMATH Keywords: iteration inequalities
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: prescribed minimal period solution
author: Chungen Liu
author: Yiming Long
MaRDI profile type: Publication
full work available at URL: jdeq.2000.3775
OpenAlex ID: W2036579985
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DOI: 10.1006/JDEQ.2000.3775
description: scientific article; zbMATH DE number 1525501