Structure of positive solution sets of semi-positone singular boundary value problems

Xian Xu; Donal O'Regan; Yanfang Chen

doi:10.1016/j.na.2009.12.035

Structure of positive solution sets of semi-positone singular boundary value problems

Xian Xu
, Donal O'Regan
, Yanfang Chen

Mathematics

Jiangsu Normal University

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

8 Citations (Scopus)

Abstract

In this paper we first obtain some results on the structure of positive solution sets of some differential boundary value problems. Then by using these results we obtain some existence and multiplicity results for positive solutions of differential boundary value problems. The method used to show the main results is that of global bifurcation theories.

Original language	English
Pages (from-to)	3535-3550
Number of pages	16
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	7-8
DOIs	https://doi.org/10.1016/j.na.2009.12.035
Publication status	Published - 1 Apr 2010

Keywords

Global bifurcation theories
Semi-positone boundary value problems
Structure of positive solution sets

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

Authors
Xu, X;O'Regan, D;Chen, YF

Access to Document

10.1016/j.na.2009.12.035

Cite this

@article{d1e3eebbb87241058235b1423bc5703d,

title = "Structure of positive solution sets of semi-positone singular boundary value problems",

abstract = "In this paper we first obtain some results on the structure of positive solution sets of some differential boundary value problems. Then by using these results we obtain some existence and multiplicity results for positive solutions of differential boundary value problems. The method used to show the main results is that of global bifurcation theories.",

keywords = "Global bifurcation theories, Semi-positone boundary value problems, Structure of positive solution sets",

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

year = "2010",

month = apr,

day = "1",

doi = "10.1016/j.na.2009.12.035",

language = "English",

volume = "72",

pages = "3535--3550",

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

issn = "0362-546X",

publisher = "Elsevier Ltd",

number = "7-8",

}

TY - JOUR

T1 - Structure of positive solution sets of semi-positone singular boundary value problems

AU - Xu, Xian

AU - O'Regan, Donal

AU - Chen, Yanfang

PY - 2010/4/1

Y1 - 2010/4/1

N2 - In this paper we first obtain some results on the structure of positive solution sets of some differential boundary value problems. Then by using these results we obtain some existence and multiplicity results for positive solutions of differential boundary value problems. The method used to show the main results is that of global bifurcation theories.

AB - In this paper we first obtain some results on the structure of positive solution sets of some differential boundary value problems. Then by using these results we obtain some existence and multiplicity results for positive solutions of differential boundary value problems. The method used to show the main results is that of global bifurcation theories.

KW - Global bifurcation theories

KW - Semi-positone boundary value problems

KW - Structure of positive solution sets

UR - https://www.scopus.com/pages/publications/75149124410

U2 - 10.1016/j.na.2009.12.035

DO - 10.1016/j.na.2009.12.035

M3 - Article

SN - 0362-546X

VL - 72

SP - 3535

EP - 3550

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7-8

ER -

Structure of positive solution sets of semi-positone singular boundary value problems

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