Eigenvalue of fourth-order \(m\)-point boundary value problem with derivatives

DOI10.1016/J.CAMWA.2007.08.048zbMath1145.34315OpenAlexW2001837967MaRDI QIDQ950044

Li Shan Liu, Xin Guang Zhang

Publication date: 22 October 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.08.048

zbMATH Keywords

eigenvalueconepositive solutionsfixed-point theoremmulti-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

Multiple positive solutions of singular nonlinear Sturm-Liouville problems with Carathéodory perturbed term ⋮ Eigenvalues of a class of singular boundary value problems of impulsive differential equations in Banach spaces ⋮ Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with \(p\)-Laplacian operator ⋮ Existence of positive solutions for a fourth-order \(m\)-point boundary value problem ⋮ Existence of positive solutions for singular four-point boundary value problem with a p-Laplacian

Cites Work

• Unnamed Item
• On fourth order boundary value problems arising in beam analysis
• Iterative methods for a fourth order boundary value problem
• Positive solutions of fourth-order nonlinear singular Sturm--Liouville eigenvalue problems
• Existence and uniqueness theorems for fourth-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Solvability of some fourth (and higher) order singular boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• A three point boundary value problem for nonlinear fourth order differential equations.
• Positive solutions for singular \(m\)-point boundary value problems with positive parameter.
• Fourth order two-point boundary value problems; estimates by two-sided bounds
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fourth-Order Two-Point Boundary Value Problems
• On the existence of positive solutions of fourth-order ordinary differential equations

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