Multiplicity results for a class of fourth order semipositonem-point boundary value problems

DOI10.1080/00036811.2011.556623zbMath1255.34020OpenAlexW2022236574WikidataQ58251297 ScholiaQ58251297MaRDI QIDQ2903157

Yansheng Liu, Donal O'Regan

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.556623

zbMATH Keywords

bifurcation techniquesglobal behaviour\(m\)-point boundary value problems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Positive solutions for two-point boundary value problems for fourth-order differential equations with fully nonlinear terms ⋮ Green's function and positive solutions for a second-order singular boundary value problem with integral boundary conditions and a delayed argument ⋮ Nodal solutions for some second-order semipositone integral boundary value problems ⋮ Existence of positive solutions for multi-point semi-positive boundary value problems

Cites Work

• Global structure of positive solutions for nonlocal boundary value problems involving integral conditions
• A class of \(2n\)th-order singular boundary value problems
• Global behavior of the components for the second order \(m\)-point boundary value problems
• Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems
• Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function
• Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
• A generalized multi-point boundary value problem for second order ordinary differential equations
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Positive solutions of \(m\)-point boundary value problems
• Positive solutions of some three point boundary value problems via fixed point index theory.
• On bifurcation from infinity
• Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
• Nodal solutions for \(m\)-point boundary value problems using bifurcation methods
• Nodal solutions for second-order \(m\)-point boundary value problems with nonlinearities across several eigenvalues
• Some global results for nonlinear eigenvalue problems
• Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
• Nodal solutions for a second-order m-point boundary value problem
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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