Existence and positivity of solutions for a second-order boundary value problem with integral condition
type: Item
instance of: scholarly article
title: Existence and positivity of solutions for a second-order boundary value problem with integral condition
zbMATH Open document ID: 1251.34038
DOI: 10.1155/2012/471975
author: A. Guezane-Lakoud
author: Hamidane Nacira
author: Khaldi Rabah
published in: International Journal of Differential Equations
publication date: 2012-09-06T00:00:00Z
review text: Summary: This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii fixed point theorem in cone. Two examples are also given to illustrate the main results.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6078085
zbMATH Keywords: contraction principle
zbMATH Keywords: fixed point theorem
Wikidata QID: Q58702790
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/471975
OpenAlex ID: W2096537527
cites work: Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
cites work: Second-order boundary value problem with integral boundary conditions
cites work: Existence of symmetric positive solutions for a boundary value problem with integral boundary conditions
cites work: Impulsive boundary value problems with integral boundary conditions and one-dimensional \(p\)-Laplacian
cites work: Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces
cites work: Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces
cites work: Existence result of second-order differential equations with integral boundary conditions at resonance
cites work: Symmetric positive solutions for \(p\)-Laplacian fourth-order differential equations with integral boundary conditions
cites work: Positive solutions for a class of boundary-value problems with integral boundary conditions
cites work: Positive solutions for a class of \(m\)-point singular boundary value problems
cites work: A three point boundary value problem for nonlinear fourth order differential equations.
cites work: Solvability of a nonlinear boundary value problem
cites work: Positive solutions of fourth-order two point boundary value problems.
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cites work: Q3994493
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description: scientific article; zbMATH DE number 6078085