Remarks on J. J. Nieto's paper: Nonlinear second-order periodic boundary value problems
type: Item
instance of: scholarly article
title: Remarks on J. J. Nieto's paper: Nonlinear second-order periodic boundary value problems
zbMATH Open document ID: 0713.34015
DOI: 10.1016/0022-247X(90)90341-C
author: Boris Rudolf
author: Zbyněk Kubáçek
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: The authors prove a theorem improving earlier results of \textit{J. J. Nieto} [J. Math. Anal. Appl. 130, 22-29 (1988; Zbl 0678.34022)] on second order periodic boundary value problems (1) \(-u''=f(t,u),u(0)=u(2\pi)\), \(u'(0)=u'(2\pi)\) where f is continuous in (t,u) and decreasing in u for each fixed t, assuming the existence of an upper and lower solution for (1).
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 4173392
zbMATH Keywords: upper solutions
zbMATH Keywords: second order periodic boundary value problems
zbMATH Keywords: lower solution
reviewed by: Abdelkader Boucherif
MaRDI profile type: Publication
cites work: Nonlinear second-order periodic boundary value problems
full work available at URL: 0022-247x(90)90341-c
OpenAlex ID: W1982450849
description: scientific article; zbMATH DE number 4173392