Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem

DOI10.22436/jnsa.010.10.28zbMath1412.34078OpenAlexW2766397641MaRDI QIDQ5743212

Alberto Cabada, Lucía López-Somoza, Feliz Manuel Minhós

Publication date: 9 May 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.10.28

zbMATH Keywords

Green functionsnonlinear boundary value problemsdegree theorymultipoint boundary value problemsparameter dependencefixed points in cones

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) 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)

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Existence and multiplicity results for some generalized Hammerstein equations with a parameter ⋮ Positive solutions to a third order nonlocal boundary value problem with a parameter ⋮ A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems ⋮ Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function ⋮ Third-order differential equations with three-point boundary conditions ⋮ Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions

Cites Work

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• Positive solutions for a nonlinear third order multipoint boundary value problem
• Three-point boundary value problems with solutions that change sign
• On the solvability of third-order three point systems of differential equations with dependence on the first derivative
• Nontrivial solutions of Hammerstein integral equations with reflections
• Generalized Hammerstein equations and applications
• Existence of positive solutions for nonlinear third-order three-point boundary value problems
• Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Non-trivial solutions of local and non-local Neumann boundary-value problems