Asymptotic stability for ordinary differential systems with time-dependent restoring potentials
type: Item
instance of: scholarly article
title: Asymptotic stability for ordinary differential systems with time-dependent restoring potentials
zbMATH Open document ID: 0861.34034
DOI: 10.1007/BF00382747
author: Patrizia Pucci
author: James Serrin
published in: Archive for Rational Mechanics and Analysis
publication date: 1997-05-13T00:00:00Z
review text: The authors study the equation \[ (\nabla_p G(u,u'))'- \nabla_u G(u,u')+ q^m(t)f(u)= Q(t,u,u'),\tag{1} \] a generalization of \(u''+h(t)u'+ q^2(t)f(u)= Q(t,u,u')\). Their main results, which are too lengthy to quote here, give sufficient conditions that bounded solutions of (1) tend to 0 as \(t\to\infty\). Several previous results are corollaries of their main theorems. Applications are given to holonomic mechanical systems and to Matukama type equations.
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 880574
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Matukama type equations
reviewed by: Alan R. Hausrath
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 880574