Triple positive solutions of three-point boundary value problems for fourth-order differential equations

DOI10.1016/j.camwa.2008.02.033zbMath1155.34311OpenAlexW2091694890MaRDI QIDQ1004818

Chuanzhi Bai

Publication date: 12 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.02.033

zbMATH Keywords

conepositive solutionfixed point theoremthree-point boundary value problemsign-changing

Mathematics Subject Classification ID

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 (6)

Infinitely many sign-changing solutions for some nonlinear fourth-order beam equations ⋮ Existence of positive solutions for a fourth-order \(m\)-point boundary value problem ⋮ Triple positive solutions of a class of fourth-order two-point boundary value problems ⋮ Existence theory for pseudo-symmetric solution to \(p\)-Laplacian differential equations involving derivative ⋮ Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments ⋮ Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions

Cites Work

• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order two point boundary value problems.
• A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• On positive solutions of some nonlinear fourth-order beam equations
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Positive solutions of fourth-order singular three point eigenvalue problems
• Existence of positive solutions for fourth-order \(m\)-point boundary value problem with variable parameters
• Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
• Triple positive solutions for a class of boundary value problems for second-order neutral functional differential equations
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