Nodal solutions for m-point boundary value problems using bifurcation methods

Donal O'Regan

doi:10.1016/j.na.2007.02.043

Nodal solutions for m-point boundary value problems using bifurcation methods

Donal O'Regan

Mathematics

Jiangsu Normal University

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

37 Citations (Scopus)

Abstract

In this paper, we first obtain some results on the structure of solution sets of some in-point boundary value problems. Then using these results, we obtain some multiplicity results for nodal solutions of in-point boundary value problems. The method to show our main results is based on the Structure of solution sets due to P.H. Rabinowitz. (C) 2008 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	3034-3046
Number of pages	13
Journal	Nonlinear Analysis-Theory Methods & Applications
Volume	68
Issue number	10
DOIs	https://doi.org/10.1016/j.na.2007.02.043
Publication status	Published - 1 May 2008

Keywords

Nodal solutions
Structure of solution sets
m-point boundary value problem

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

Authors
Sun, JX,Xian, X,O'Regan, D

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10.1016/j.na.2007.02.043

Cite this

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abstract = "In this paper, we first obtain some results on the structure of solution sets of some in-point boundary value problems. Then using these results, we obtain some multiplicity results for nodal solutions of in-point boundary value problems. The method to show our main results is based on the Structure of solution sets due to P.H. Rabinowitz. (C) 2008 Elsevier Ltd. All rights reserved.",

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N2 - In this paper, we first obtain some results on the structure of solution sets of some in-point boundary value problems. Then using these results, we obtain some multiplicity results for nodal solutions of in-point boundary value problems. The method to show our main results is based on the Structure of solution sets due to P.H. Rabinowitz. (C) 2008 Elsevier Ltd. All rights reserved.

AB - In this paper, we first obtain some results on the structure of solution sets of some in-point boundary value problems. Then using these results, we obtain some multiplicity results for nodal solutions of in-point boundary value problems. The method to show our main results is based on the Structure of solution sets due to P.H. Rabinowitz. (C) 2008 Elsevier Ltd. All rights reserved.

KW - Nodal solutions

KW - Structure of solution sets

KW - m-point boundary value problem

UR - https://www.scopus.com/pages/publications/40849106266

U2 - 10.1016/j.na.2007.02.043

DO - 10.1016/j.na.2007.02.043

M3 - Article

VL - 68

SP - 3034

EP - 3046

JO - Nonlinear Analysis-Theory Methods & Applications

JF - Nonlinear Analysis-Theory Methods & Applications

IS - 10

ER -

Nodal solutions for m-point boundary value problems using bifurcation methods

Abstract

Keywords

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

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