On the Positive Solutions of a Nonlinear Fourth-order Boundary Value Problem with Two Parameters

DOI10.1080/00036810310001632817zbMath1051.34018OpenAlexW2013423539WikidataQ58143127 ScholiaQ58143127MaRDI QIDQ4465269

Qing-liu Yao

Publication date: 27 May 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001632817

zbMATH Keywords

existencemultiplicitynonexistencepositive solutionnonlinear fourth-order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (12)

Existence of positive solutions for fourth-order \(m\)-point boundary value problem with variable parameters ⋮ Existence and multiplicity of solutions for fourth-order boundary value problems with param\-eters ⋮ Existence of \(n\) solutions and/or positive solutions to a semipositone elastic beam equation ⋮ Existence and multiplicity of positive solutions for an elastic beam equation ⋮ Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right ⋮ Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Positive and sign-changing solutions for fourth-order BVPs with parameters ⋮ Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem ⋮ Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem ⋮ Symmetric positive solutions of boundary value problems with integral boundary conditions ⋮ Successive iteration and positive solution for nonlinear second-order three-point boundary value problems

Cites Work

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• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Existence of positive radial solutions for some semilinear elliptic equations in annulus
• Positive solutions to the classical Gelfand model with coefficient that change sign
• On the positive solutions of Lidstone boundary value problems.
• Existence and multiplicity of positive radial solutions for a semilinear elliptic equation with change of sign
• Existence and uniqueness theorems for the bending of an elastic beam equation
• On the existence of positive solutions of fourth-order ordinary differential equations

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