Existence and multiplicity of periodic solutions of the second-order differential equations with jumping nonlinearities
type: Item
instance of: scholarly article
title: Existence and multiplicity of periodic solutions of the second-order differential equations with jumping nonlinearities
zbMATH Open document ID: 1028.34036
author: Zaihong Wang
publication date: 2004-01-13T00:00:00Z
review text: The author studies the existence and multiplicity of periodic solutions to the following equation \[ \ddot u + au^+ - bu^- +g(u) = p(t). \] Under some conditions on \(g\), he proves that there is at least one harmonic solution and determines the multiplicity of subharmonics. The proof is based on the Poincaré- Birkhoff twist theorem and on estimates on the time map.
reviewed by: Bin Liu
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1885860
zbMATH Keywords: periodic solutions
zbMATH Keywords: jumping nonlinearities
zbMATH Keywords: time map
MaRDI profile type: Publication
full work available at URL: s10114-002-0190-x
OpenAlex ID: W1975684283
DOI: 10.1007/S10114-002-0190-X
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1885860