A Hamiltonian system with an even term
type: Item
instance of: scholarly article
title: A Hamiltonian system with an even term
zbMATH Open document ID: 0988.37069
DOI: 10.12775/TMNA.1997.023
author: Gregory S. Spradlin
published in: Topological Methods in Nonlinear Analysis
publication date: 2000-04-09T00:00:00Z
review text: The author considers a Hamiltonian system of the form (1) \(u''+u= h(t)V(u)\), where \(h\) and \(V\) are differentiable, \(h>0\) and bounded, \(h(-t)=h(t)\), and \(V\) is a ``superquadratic'' potential. Under some natural additional conditions on \(h\) and \(V\), the author proves the existence of a non-zero solution \(w\) of (1), such that \(w'(0)= 0\) and \(w(t)\to 0\), \(w'(t)\to 0\) as \(t\to\infty\), using variational methods.
Mathematics Subject Classification ID: 37J05
zbMATH DE Number: 1157136
zbMATH Keywords: superquadratic potential
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: existence
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1157136