A three solutions theorem for nonlinear operator equations in ordered Banach spaces

DOI10.1007/s11117-005-0033-yzbMath1115.34018OpenAlexW1999479533MaRDI QIDQ865007

Donal O'Regan, Xu Xian

Publication date: 13 February 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0033-y

zbMATH Keywords

fixed point theorysign-changing solutionthree-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• A sign-changing solution for a superlinear Dirichlet problem
• Positive solutions for singular \(m\)-point boundary value problems with positive parameter.
• Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
• The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator
• Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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