On the continuous dependence on parameters of solutions of the second order periodic problem
type: Item
instance of: scholarly article
title: On the continuous dependence on parameters of solutions of the second order periodic problem
zbMATH Open document ID: 0972.34032
author: M. Bartkiewicz
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2001-11-18T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1103055615
review text: Sufficient conditions are established under which the second-order problem \[ \ddot u=\nabla F(t,u,\omega),\quad u(0)-u(T)=\dot u(0)-\dot u(T)=0, \] has solutions which continuously depend on the parameter \(\omega\). \(F\) is assumed to be convex and such that \(\nabla F\) is bounded.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B07
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 1563225
zbMATH Keywords: periodic solutions
zbMATH Keywords: second-order equations
zbMATH Keywords: continuous dependence on parameters
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1563225