Existence of two positive solutions of a singular nonlinear periodic boundary value problem
type: Item
instance of: scholarly article
title: Existence of two positive solutions of a singular nonlinear periodic boundary value problem
zbMATH Open document ID: 0944.34014
DOI: 10.1016/S0377-0427(99)00241-1
published in: Journal of Computational and Applied Mathematics
publication date: 2000-04-10T00:00:00Z
review text: The author deals with the existence of two periodic solutions to the second-order scalar differential equation \(x''= f(t,x,x')\) under the assumption that \(f\) has a repulsive singularity at \(x= 0^+\). The results are derived via some a priori estimates, from some author's theorems [Preprint 22 (1998), Palacký Univ. Olomouc] which are based on a connection between lower and upper solutions and the topological degree.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1398393
zbMATH Keywords: singular nonlinear periodic boundary value problem
zbMATH Keywords: existence
zbMATH Keywords: periodic solutions
zbMATH Keywords: repulsive singularity
zbMATH Keywords: lower and upper solutions
author: Irena Rachůnková
reviewed by: Radu Precup
MaRDI profile type: Publication
cites work: Existence of a pair of periodic solutions of an O.D.E. Generalizing a problem in nonlinear elasticity, via variational methods
full work available at URL: s0377-0427(99)00241-1
OpenAlex ID: W2103505471
description: scientific article; zbMATH DE number 1398393