Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities
type: Item
instance of: scholarly article
title: Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities
zbMATH Open document ID: 1229.34034
DOI: 10.1155/2011/545264
author: Alberto Cabada
author: J. Ángel Cid
published in: Abstract and Applied Analysis
publication date: 2011-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/222828
review text: Summary: We deal with the existence and multiplicity of solutions for the periodic boundary value problem \[ x''(t)+a(t)x(t)=\lambda g(t)f(x)+c(t), \] \[ x(0)=x(T),\quad x'(0)=x'(T), \] where \(\lambda\) is a positive parameter. The function \(f:(0,\infty)\to (0,\infty)\) is allowed to be singular, and the related Green's function is nonnegative and can vanish at some points.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B27
zbMATH DE Number: 5888139
zbMATH Keywords: Green's function
Wikidata QID: Q58654290
MaRDI profile type: Publication
OpenAlex ID: W1975958100
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description: scientific article; zbMATH DE number 5888139