Positive solution of second-order multi-point boundary value problems for finite difference equation with a \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Positive solution of second-order multi-point boundary value problems for finite difference equation with a \(p\)-Laplacian
zbMATH Open document ID: 1155.39007
author: Huihui Pang
author: Weigao Ge
published in: Journal of Applied Mathematics and Computing
publication date: 2008-10-21T00:00:00Z
review text: The paper is concerned with the boundary value problems for the following second-order difference equation with \(p\)-Laplacian: \[ \Delta(\varphi_p(\Delta u(k)))+\lambda q(k)f(k,u(k))=0, \] subject to multi-point boundary value conditions. The approach is to use a fixed point theorem on the cone due to Krasnosel'skii. At least one positive solution is shown to exist.
reviewed by: Rong Yuan
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 5354592
zbMATH Keywords: boundary value problem
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: positive solution
zbMATH Keywords: second-order difference equation
zbMATH Keywords: multi-point boundary value conditions
MaRDI profile type: Publication
full work available at URL: s12190-007-0003-6
OpenAlex ID: W2139250695
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DOI: 10.1007/S12190-007-0003-6
description: scientific article; zbMATH DE number 5354592