Multiple positive solutions for time scale boundary value problems on infinite intervals
type: Item
instance of: scholarly article
title: Multiple positive solutions for time scale boundary value problems on infinite intervals
zbMATH Open document ID: 1169.39007
author: Xiangkui Zhao
author: Weigao Ge
published in: Acta Applicandae Mathematicae
publication date: 2009-06-30T00:00:00Z
review text: Consider the time-scale boundary value problems \[ (\phi _{p}(u^{\Delta }(t)))^{\nabla }+q(t)f(u(t),u^{\Delta }(t))=0,\quad t\in (0,\infty)_{T} \] \[ u(0)=\beta u^{\Delta }(\eta )~,\quad \lim_{t\in \mathbb{T},~t\to \infty}u^{\Delta }(t)=0, \] where \(\mathbb{T}\) is a time scale. By means of Leggett-Williams fixed point theorem, the authors establish sufficient conditions that guarantee the existence of at least three positive solutions to the above boundary value problem.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5571773
zbMATH Keywords: time scale
zbMATH Keywords: positive solutions
zbMATH Keywords: infinite intervals
zbMATH Keywords: multiple solutions
zbMATH Keywords: Leggett-Williams fixed point theorem
reviewed by: Fozi Dannan
MaRDI profile type: Publication
full work available at URL: s10440-008-9294-3
OpenAlex ID: W2117516634
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DOI: 10.1007/S10440-008-9294-3
description: scientific article; zbMATH DE number 5571773