Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem

DOI10.1186/1687-2770-2012-31zbMath1277.34019OpenAlexW2113254988WikidataQ59270916 ScholiaQ59270916MaRDI QIDQ370838

Wen-guo Shen

Publication date: 20 September 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-31

zbMATH Keywords

eigenvaluebifurcationnodal solutionsdisconjugacy theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear boundary value problems for ordinary differential equations (34B05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Unilateral global bifurcation for fourth-order problems and its applications ⋮ Bifurcation from interval and positive solutions for a class of fourth-order two-point boundary value problem ⋮ Unilateral global bifurcation from intervals for fourth-order problems and its applications ⋮ Global structure of positive solutions for a singular fourth-order integral boundary value problem

Cites Work

• Iterative methods for a fourth order boundary value problem
• Nodal solutions for a nonlinear fourth-order eigenvalue problem
• Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• Nodal solutions of boundary value problems of fourth-order ordinary differential equations
• Existence of positive solutions of a fourth-order boundary value problem
• Nodal solutions for a fourth-order two-point boundary value problem
• Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
• On the existence of positive solutions of fourth-order ordinary differential equations

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