Multiplicity of sign-changing solutions for some four-point boundary value problem

Xian Xu; Donal O'Regan

doi:10.1016/j.na.2007.05.030

Multiplicity of sign-changing solutions for some four-point boundary value problem

Xian Xu
, Donal O'Regan

Mathematics

Jiangsu Normal University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper we obtain using Leray-Schauder degree theory some multiplicity results for sign-changing solutions of a four-point boundary value problem. We assume the existence of a pair of strict lower and upper solutions and some additional conditions on the nonlinear term f.

Original language	English
Pages (from-to)	434-447
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	69
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2007.05.030
Publication status	Published - 15 Jul 2008

Keywords

Four-point boundary value problem
Leray-Schauder degree
Sign-changing solutions
Strict upper and lower solutions

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Xian, X;O'Regan, D

Access to Document

10.1016/j.na.2007.05.030

Cite this

@article{4c15fe3dda8e480080555b40b3026a25,

title = "Multiplicity of sign-changing solutions for some four-point boundary value problem",

abstract = "In this paper we obtain using Leray-Schauder degree theory some multiplicity results for sign-changing solutions of a four-point boundary value problem. We assume the existence of a pair of strict lower and upper solutions and some additional conditions on the nonlinear term f.",

keywords = "Four-point boundary value problem, Leray-Schauder degree, Sign-changing solutions, Strict upper and lower solutions",

author = "Xian Xu and Donal O'Regan",

year = "2008",

month = jul,

day = "15",

doi = "10.1016/j.na.2007.05.030",

language = "English",

volume = "69",

pages = "434--447",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

number = "2",

}

TY - JOUR

T1 - Multiplicity of sign-changing solutions for some four-point boundary value problem

AU - Xu, Xian

AU - O'Regan, Donal

PY - 2008/7/15

Y1 - 2008/7/15

N2 - In this paper we obtain using Leray-Schauder degree theory some multiplicity results for sign-changing solutions of a four-point boundary value problem. We assume the existence of a pair of strict lower and upper solutions and some additional conditions on the nonlinear term f.

AB - In this paper we obtain using Leray-Schauder degree theory some multiplicity results for sign-changing solutions of a four-point boundary value problem. We assume the existence of a pair of strict lower and upper solutions and some additional conditions on the nonlinear term f.

KW - Four-point boundary value problem

KW - Leray-Schauder degree

KW - Sign-changing solutions

KW - Strict upper and lower solutions

UR - https://www.scopus.com/pages/publications/44149089072

U2 - 10.1016/j.na.2007.05.030

DO - 10.1016/j.na.2007.05.030

M3 - Article

SN - 0362-546X

VL - 69

SP - 434

EP - 447

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Multiplicity of sign-changing solutions for some four-point boundary value problem

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Other files and links

Fingerprint

Cite this