Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition

DOI10.1016/j.mcm.2006.05.003zbMath1140.34009OpenAlexW1988784329MaRDI QIDQ2471614

Xian Xu, Jingxian Sun, Donal O'Regan

Publication date: 22 February 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.05.003

zbMATH Keywords

fixed point indexmultiplicity resultsnon-well-ordered upper and lower solutionsthree-point BVP

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

On six solutions for \(m\)-point differential equations system with two coupled parallel sub-super solutions ⋮ Positive solutions for three-point boundary value problems with a non-well-ordered upper and lower solution condition ⋮ Existence of nontrivial solutions for unilaterally asymptotically linear three-point boundary value problems ⋮ Solutions for an operator equation under the conditions of pairs of paralleled lower and upper solutions ⋮ Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions ⋮ Picard type iterative scheme with initial iterates in reverse order for a class of nonlinear three point BVPs ⋮ Existence and location results for sign-changing solutions for three-point boundary value problems using Leray-Schauder degree

Cites Work

• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
• Upper and lower solutions and topological degree
• Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order
• 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
• Upper and lower solutions and multiplicity results
• Positive solutions of second-order three-point boundary value problems with change of sign
• The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
• Positive solutions of some three point boundary value problems via fixed point index theory.
• On the number of fixed points of nonlinear operators and applications
• Three solutions for three-point boundary value problems
• Existence of at least three solutions of a second-order three-point boundary value problem
• An extension of Tietze's theorem
• 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 solutions of nonlinear \(m\)-point boundary-value problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition