Multiple positive solutions of a \(m\)-point boundary value problem for \(2n\)th-order singular integro-differential equations in Banach spaces
type: Item
instance of: scholarly article
title: Multiple positive solutions of a \(m\)-point boundary value problem for \(2n\)th-order singular integro-differential equations in Banach spaces
zbMATH Open document ID: 1168.45012
author: Yumei Xu
author: Haijun Zhang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-04-02T00:00:00Z
review text: The paper deals with an \(m\)-point boundary value problem for \(2n\)th-order singular nonlinear integro-differential equations in a Banach space. Applying the well-known theorems on indices of fixed points for completely continuous mappings, the authors prove the existence of multiple positive solutions.
reviewed by: Michael I. Gil'
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H07
zbMATH DE Number: 5539204
zbMATH Keywords: fixed point index
zbMATH Keywords: \(m\)-point boundary value problem
zbMATH Keywords: cone
zbMATH Keywords: ordering
zbMATH Keywords: completely continuous operator
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: Banach space
zbMATH Keywords: multiple positive solutions
MaRDI profile type: Publication
full work available at URL: j.na.2008.04.026
OpenAlex ID: W2082767309
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DOI: 10.1016/J.NA.2008.04.026
description: scientific article; zbMATH DE number 5539204