Unbounded solutions in asymmetric oscillations
type: Item
instance of: scholarly article
title: Unbounded solutions in asymmetric oscillations
zbMATH Open document ID: 1082.34515
author: Xiaojing Yang
published in: Mathematical and Computer Modelling
publication date: 2005-02-22T00:00:00Z
review text: The aim of the paper is to analyze the existence of unbounded solutions for the nonlinear asymmetric oscillator \[ x''+\alpha x^+-\beta x^-= f(t),\tag{1} \] where \(\alpha\), \(\beta\) are positive constants satisfying \({1\over\sqrt{\alpha}}+{1\over \sqrt{\beta}}= {2\over\omega}\) for some \(\omega\in \mathbb{R}^+\setminus\mathbb{Q}\), \(f(t)\) is \(2\pi\)-periodic and bounded and \(x^{\pm}= \max\{\pm x,0\}\). Some sufficient conditions for the existence of unbounded solutions of (1) are presented.
reviewed by: Juan L. G. Guirao
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 2137058
zbMATH Keywords: Unbounded solutions
zbMATH Keywords: Linear equation
zbMATH Keywords: Asymmetric oscillator
MaRDI profile type: Publication
full work available at URL: j.mcm.2003.12.002
OpenAlex ID: W2006876672
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cites work: Q3931654
DOI: 10.1016/J.MCM.2003.12.002
description: scientific article; zbMATH DE number 2137058