Existence of solutions for fourth-order nonlinear boundary value problems

DOI10.1186/s13662-021-03354-4zbMath1494.34093OpenAlexW3165144989MaRDI QIDQ2166913

Mingzhu Huang

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03354-4

zbMATH Keywords

boundary value problemquasilinearization methodupper solution and lower solutionextreme solution

Mathematics Subject Classification ID

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

Cites Work

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• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Generalized quasilinearization method for nonlinear functional differential equations
• Multi-point boundary value problems for second-order functional differential equations
• Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
• A maximum principle for fourth order ordinary differential equations

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