Existence of positive solutions of fourth-order problems with integral boundary conditions

DOI10.1155/2011/297578zbMath1208.34016OpenAlexW2054804783WikidataQ59253450 ScholiaQ59253450MaRDI QIDQ610835

Tianlan Chen, Ru Yun Ma

Publication date: 13 December 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232654

zbMATH Keywords

Krein-Rutman theorembifurcation techniques

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (8)

Nonexistence of global solutions of the Cauchy problem for systems of Klein-Gordon equations with positive initial energy ⋮ Solvability of a fourth-order boundary value problem with integral boundary conditions ⋮ On a nonlocal BVP with nonlinear boundary conditions ⋮ Existence results and iterative method for a fully fourth-order nonlinear integral boundary value problem ⋮ Positive solutions for fourth-order nonlinear differential equation with integral boundary conditions ⋮ The existence of positive solutions for a fourth-order difference equation with sum form boundary conditions ⋮ Bifurcation from interval and positive solutions for a class of fourth-order two-point boundary value problem ⋮ Maximum Principle for a fourth order boundary value problem

Cites Work

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• Existence of positive solutions of a nonlinear fourth-order boundary value problem
• Positive solutions for a class of boundary-value problems with integral boundary conditions
• Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Positive solutions of fourth-order boundary value problems with two parameters
• On positive solutions of some nonlinear fourth-order beam equations
• Global solution branches for positive mappings
• Existence of positive solutions of a fourth-order boundary value problem
• Existence of positive solutions of lidstone boundary value problems
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the existence of positive solutions of fourth-order ordinary differential equations
• Second-order differential operators with integral boundary conditions and generation of analytic semigroups

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