Nodal solutions of multi-point boundary value problems

Lingju Kong; Qingkai Kong; James S.W. Wong

doi:10.1016/j.na.2009.06.072

Nodal solutions of multi-point boundary value problems

Lingju Kong, Qingkai Kong^*, James S.W. Wong

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

14 Citations (Scopus)

Abstract

We study the nonlinear boundary value problem consisting of the equation y″+w(t)f(y) = 0 on [a, b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes in the existence question for different types of nodal solutions as the problem changes.

Original language	English
Pages (from-to)	382-389
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	1
Online published	21 Jun 2009
DOIs	https://doi.org/10.1016/j.na.2009.06.072
Publication status	Published - 1 Jan 2010

Bibliographical note

Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).

Research Keywords

Nodal solutions
Multi-point boundary value problems
Sturm-Liouville problems
Eigenvalues
DIFFERENTIAL-EQUATIONS
M-POINT
SUBLINEAR NONLINEARITIES
2ND-ORDER EQUATIONS
POSITIVE SOLUTIONS
EXISTENCE

Access Output

10.1016/j.na.2009.06.072

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{4e9b6cd025544fe892b08b907366593a,

title = "Nodal solutions of multi-point boundary value problems",

abstract = "We study the nonlinear boundary value problem consisting of the equation y″+w(t)f(y) = 0 on [a, b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes in the existence question for different types of nodal solutions as the problem changes.",

keywords = "Nodal solutions, Multi-point boundary value problems, Sturm-Liouville problems, Eigenvalues, DIFFERENTIAL-EQUATIONS, M-POINT, SUBLINEAR NONLINEARITIES, 2ND-ORDER EQUATIONS, POSITIVE SOLUTIONS, EXISTENCE",

author = "Lingju Kong and Qingkai Kong and Wong, {James S.W.}",

note = "Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).",

year = "2010",

month = jan,

day = "1",

doi = "10.1016/j.na.2009.06.072",

language = "English",

volume = "72",

pages = "382--389",

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

issn = "0362-546X",

publisher = "Elsevier Ltd.",

number = "1",

}

TY - JOUR

T1 - Nodal solutions of multi-point boundary value problems

AU - Kong, Lingju

AU - Kong, Qingkai

AU - Wong, James S.W.

N1 - Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We study the nonlinear boundary value problem consisting of the equation y″+w(t)f(y) = 0 on [a, b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes in the existence question for different types of nodal solutions as the problem changes.

AB - We study the nonlinear boundary value problem consisting of the equation y″+w(t)f(y) = 0 on [a, b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes in the existence question for different types of nodal solutions as the problem changes.

KW - Nodal solutions

KW - Multi-point boundary value problems

KW - Sturm-Liouville problems

KW - Eigenvalues

KW - DIFFERENTIAL-EQUATIONS

KW - M-POINT

KW - SUBLINEAR NONLINEARITIES

KW - 2ND-ORDER EQUATIONS

KW - POSITIVE SOLUTIONS

KW - EXISTENCE

UR - http://www.scopus.com/inward/record.url?scp=71749090587&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-71749090587&origin=recordpage

U2 - 10.1016/j.na.2009.06.072

DO - 10.1016/j.na.2009.06.072

M3 - RGC 21 - Publication in refereed journal

SN - 0362-546X

VL - 72

SP - 382

EP - 389

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

Nodal solutions of multi-point boundary value problems

Abstract

Bibliographical note

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this