Results for twin singular nonlinear problems with damping term
type: Item
instance of: scholarly article
title: Results for twin singular nonlinear problems with damping term
zbMATH Open document ID: 1219.34034
DOI: 10.1155/2011/416173
author: Youwei Zhang
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2011-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/229441
review text: Summary: The aim of this paper is to establish some new and general results on the existence of a positive solution to singular boundary value problems with damping term \[ u''(t)-\lambda u'(t)+h(t)f(t,u(t))=0,\quad a<t<b, \] \[ u'(a)-\lambda u(a)=0,\quad \gamma u (b)+\delta u'(b)=\sum^n_{i=1}a_i u(t_i), \] \[ \gamma u(a)+\delta u'(a)=\sum^n_{i=1}a_iu(t_i),\quad u'(b)-\lambda u(b)=0. \] By using the functional type cone expansion and compression fixed-point theorem in cones, some new and general results on the existence of a positive solution are obtained. An example is given to illustrate our results.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5900723
Wikidata QID: Q58687783
MaRDI profile type: Publication
OpenAlex ID: W1993866592
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description: scientific article; zbMATH DE number 5900723