Periodic bouncing for a forced linear spring with obstacle
type: Item
instance of: scholarly article
title: Periodic bouncing for a forced linear spring with obstacle
zbMATH Open document ID: 0757.34033
author: Alan C. Lazer
author: P. Joseph Mckenna
published in: Differential and Integral Equations
publication date: 1993-01-16T00:00:00Z
review text: The authors ask for \(2\pi\)-periodic solutions of \(u''+\delta u'+bu=\pm1+\varepsilon\sin t\) which satisfy \(u(t)\geq 0\) and, at the points \(t_ i\) of elastic impact, \(u(t_ i)=0\Rightarrow u'(t_ i+)=- u'(t_ i-)\). For certain parameters \(\delta\), \(b\) there exist ``large'' solutions for small \(\varepsilon\). (Physically the results are obvious and well-known.).
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 90481
zbMATH Keywords: periodic solutions
zbMATH Keywords: elastic impact
reviewed by: E. Brommundt
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 90481