Positive solutions for nonlocal fourth-order boundary value problems with all order derivatives

DOI10.1186/1687-2770-2012-29zbMath1279.34041OpenAlexW2171160948WikidataQ59270992 ScholiaQ59270992MaRDI QIDQ370841

Mohammad Hasan, H. S. Yoon

Publication date: 20 September 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-29

zbMATH Keywords

Green's functionpositive solutionfixed point theoremfourth-order boundary value problem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) 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)

A cantilever beam problem with small deflections and perturbed boundary data ⋮ Positive solutions for third-order boundary value problems with the integral boundary conditions and dependence on the first-order derivatives ⋮ Positive solutions of beam equations under nonlocal boundary value conditions ⋮ Existence of positive solutions for the cantilever beam equations with fully nonlinear terms ⋮ The existence of positive solutions for a fourth-order difference equation with sum form boundary conditions ⋮ Positive solutions of fourth-order problem subject to nonlocal boundary conditions ⋮ Inequalities of Green's functions and positive solutions to nonlocal boundary value problems ⋮ Positive solutions of fourth-order problems with dependence on all derivatives in nonlinearity under Stieltjes integral boundary conditions

Cites Work

• Existence of positive solutions for fourth-order boundary value problem with variable parameters
• Positive solutions of some nonlocal fourth-order boundary value problem
• Positive solutions for a higher-order four-point boundary value problem with a \(p\)-Laplacian
• Local existence of multiple positive solutions to a singular cantilever beam equation
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• The method of lower and upper solutions for a bending of an elastic beam equation
• The upper and lower solution method for some fourth-order boundary value problems
• Symmetric positive solutions for nonlocal boundary value problems of fourth order
• Existence of positive solutions of a fourth-order boundary value problem
• On the existence of positive solutions of fourth-order ordinary differential equations

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