Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues

Donal O'Regan

doi:10.1016/j.na.2005.07.007

Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues

Donal O'Regan

Mathematics

Northwest Normal University China

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

49 Citations (Scopus)

Abstract

We study the existence of nodal solutions of the m-point boundary value problemu + f(u) = 0, 0 0 and 0 Sigma(m-2)(i=1) alpha(i) = 1. We give conditions on the ratio f (s) s at infinity and zero that guarantee the existence of nodal solutions. The proofs of our main results are based upon bifurcation techniques. (c) 2005 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	1562-1577
Number of pages	16
Journal	Nonlinear Analysis-Theory Methods & Applications
Volume	64
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2005.07.007
Publication status	Published - 1 Apr 2006

Keywords

Bifurcation methods
Eigenvalues
Multi-point boundary value problems
Multiplicity results
Nodal zeros

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

Authors
Ma, RY,O'Regan, D

Access to Document

10.1016/j.na.2005.07.007

Cite this

@article{3decf1075b6244f7a7beab57a327ae13,

title = "Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues",

abstract = "We study the existence of nodal solutions of the m-point boundary value problemu + f(u) = 0, 0 0 and 0 Sigma(m-2)(i=1) alpha(i) = 1. We give conditions on the ratio f (s) s at infinity and zero that guarantee the existence of nodal solutions. The proofs of our main results are based upon bifurcation techniques. (c) 2005 Elsevier Ltd. All rights reserved.",

keywords = "Bifurcation methods, Eigenvalues, Multi-point boundary value problems, Multiplicity results, Nodal zeros",

author = "Donal O'Regan",

year = "2006",

month = apr,

day = "1",

doi = "10.1016/j.na.2005.07.007",

language = "English (Ireland)",

volume = "64",

pages = "1562--1577",

journal = "Nonlinear Analysis-Theory Methods \& Applications",

number = "7",

}

TY - JOUR

T1 - Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues

AU - O'Regan, Donal

PY - 2006/4/1

Y1 - 2006/4/1

N2 - We study the existence of nodal solutions of the m-point boundary value problemu + f(u) = 0, 0 0 and 0 Sigma(m-2)(i=1) alpha(i) = 1. We give conditions on the ratio f (s) s at infinity and zero that guarantee the existence of nodal solutions. The proofs of our main results are based upon bifurcation techniques. (c) 2005 Elsevier Ltd. All rights reserved.

AB - We study the existence of nodal solutions of the m-point boundary value problemu + f(u) = 0, 0 0 and 0 Sigma(m-2)(i=1) alpha(i) = 1. We give conditions on the ratio f (s) s at infinity and zero that guarantee the existence of nodal solutions. The proofs of our main results are based upon bifurcation techniques. (c) 2005 Elsevier Ltd. All rights reserved.

KW - Bifurcation methods

KW - Eigenvalues

KW - Multi-point boundary value problems

KW - Multiplicity results

KW - Nodal zeros

UR - https://www.scopus.com/pages/publications/31444446374

U2 - 10.1016/j.na.2005.07.007

DO - 10.1016/j.na.2005.07.007

M3 - Article

VL - 64

SP - 1562

EP - 1577

JO - Nonlinear Analysis-Theory Methods & Applications

JF - Nonlinear Analysis-Theory Methods & Applications

IS - 7

ER -

Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues

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