Existence results for a fully fourth-order boundary value problem

DOI10.1155/2013/641617zbMath1273.34025OpenAlexW2002657978WikidataQ59014560 ScholiaQ59014560MaRDI QIDQ2392174

Yongxiang Li, Qiuyan Liang

Publication date: 1 August 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/641617

zbMATH Keywords

Fourier analysisLeray-Schauder fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems ⋮ Existence results and iterative method for solving the cantilever beam equation with fully nonlinear term ⋮ Unnamed Item ⋮ Solving the Dirichlet problem for fully fourth order nonlinear differential equation ⋮ The method of lower and upper solutions for the cantilever beam equations with fully nonlinear terms ⋮ The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation ⋮ Solvability for fully cantilever beam equations with superlinear nonlinearities

Cites Work

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• The method of lower and upper solutions for fourth-order two-point boundary value problems
• The method of lower and upper solutions for a bending of an elastic beam equation
• On positive solutions of some nonlinear fourth-order beam equations
• On the existence of positive solutions for the bending elastic beam equations
• Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
• Fourth-Order Two-Point Boundary Value Problems
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition

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