Positive solutions for fourth-order nonlinear differential equation with integral boundary conditions
type: Item
instance of: scholarly article
title: Positive solutions for fourth-order nonlinear differential equation with integral boundary conditions
zbMATH Open document ID: 1270.34037
DOI: 10.1155/2013/684962
author: Qi Wang
author: Yanping Guo
author: Yude Ji
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: This paper investigates the existence and nonexistence of positive solutions to a class of fourth-order nonlinear differential equation with integral boundary conditions. The associated Green function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnosel'skii's fixed point theorem for operators on a cone.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6175108
MaRDI profile type: Publication
Wikidata QID: Q58921731
full work available at URL: https://doi.org/10.1155/2013/684962
OpenAlex ID: W1998174884
cites work: Positive solutions for nonlinear \(n\)th-order singular nonlocal boundary value problems
cites work: Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions
cites work: POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
cites work: Existence of positive solutions of a nonlinear fourth-order boundary value problem
cites work: Positive solutions of fourth order problems with clamped beam boundary conditions
cites work: Three symmetric positive solutions of fourth-order singular nonlocal boundary value problems
cites work: Existence of positive solutions of fourth-order problems with integral boundary conditions
cites work: Positive solutions of some nonlocal fourth-order boundary value problem
cites work: Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
cites work: Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces
cites work: Positive solutions for a class of boundary-value problems with integral boundary conditions
cites work: A cantilever equation with nonlinear boundary conditions
cites work: A note on a beam equation with nonlinear boundary conditions
cites work: Non-local boundary value problems of arbitrary order
cites work: Semi-positone nonlocal boundary value problems of arbitrary order
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description: scientific article; zbMATH DE number 6175108