Existence of nontrivial solutions for unilaterally asymptotically linear three-point boundary value problems
type: Item
instance of: scholarly article
title: Existence of nontrivial solutions for unilaterally asymptotically linear three-point boundary value problems
zbMATH Open document ID: 1476.34068
DOI: 10.1155/2014/263042
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. Our results improve and generalize on those in the literatures.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7022040
zbMATH Keywords: fixed point theorems
zbMATH Keywords: sign-changing solutions
zbMATH Keywords: second order three-point boundary value problems
Wikidata QID: Q59037274
author: Hong-Yu Li
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/263042
OpenAlex ID: W2015264837
cites work: Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
cites work: Positive solutions of some three point boundary value problems via fixed point index theory.
cites work: Positive solutions of \(m\)-point boundary value problems
cites work: Multiple positive solutions of singular second-order \(m\)-point boundary value problems
cites work: Positive solutions for singular second order three-point boundary value problems
cites work: Existence of solutions of nonlinear \(m\)-point boundary-value problems
cites work: Positive solutions of a nonlinear three-point boundary value problem
cites work: Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
cites work: Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition
cites work: Q5461917
cites work: On the existence of sign changing solutions for semilinear Dirichlet problems
cites work: On sign-changing solution for some three-point boundary value problems
cites work: Existence of sign-changing solutions for some asymptotically linear three-point boundary value problems
cites work: Q3571247
cites work: Second-order, three-point, boundary value problems with jumping nonlinearities
cites work: Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
cites work: Eigenvalue for a singular second order three-point boundary value problem
cites work: A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space
cites work: Computation of topological degree of unilaterally asymptotically linear operators and its applications
cites work: Computation of topological degree for nonlinear operators and applications
cites work: Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations
cites work: Existence of solutions for integral boundary value problems of second-order ordinary differential equations
cites work: Existence of positive solutions to a non-positive elastic beam equation with both ends fixed
description: scientific article; zbMATH DE number 7022040