Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x  via index theory

Donal O'Regan

doi:10.1080/00036810601109101

Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x via index theory

Donal O'Regan

Mathematics

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

Abstract

Using the theory of fixed point index, this article discusses the existence of positive solutions for singular second-order boundary value problems, where f may be singular at x = 0 and x = 0, and f may change sign.

Original language	English (Ireland)
Pages (from-to)	19-39
Number of pages	21
Journal	Applicable Analysis
Volume	86
Issue number	1
DOIs	https://doi.org/10.1080/00036810601109101
Publication status	Published - 1 Jul 2007

Keywords

2000 Mathematics Subject Classifications Primary 34B16
Boundary value problems
Fixed point index
Secondary 34B18
Singularity

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

Authors
Agarwal, RP,O'Regan, D,Yan, BQ

Access to Document

10.1080/00036810601109101

Cite this

@article{810527270ccc4a8e8dcd642f3d2c6aef,

title = "Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x via index theory",

abstract = "Using the theory of fixed point index, this article discusses the existence of positive solutions for singular second-order boundary value problems, where f may be singular at x = 0 and x = 0, and f may change sign.",

keywords = "2000 Mathematics Subject Classifications Primary 34B16, Boundary value problems, Fixed point index, Secondary 34B18, Singularity",

author = "Donal O'Regan",

year = "2007",

month = jul,

day = "1",

doi = "10.1080/00036810601109101",

language = "English (Ireland)",

volume = "86",

pages = "19--39",

journal = "Applicable Analysis",

number = "1",

}

TY - JOUR

T1 - Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x via index theory

AU - O'Regan, Donal

PY - 2007/7/1

Y1 - 2007/7/1

N2 - Using the theory of fixed point index, this article discusses the existence of positive solutions for singular second-order boundary value problems, where f may be singular at x = 0 and x = 0, and f may change sign.

AB - Using the theory of fixed point index, this article discusses the existence of positive solutions for singular second-order boundary value problems, where f may be singular at x = 0 and x = 0, and f may change sign.

KW - 2000 Mathematics Subject Classifications Primary 34B16

KW - Boundary value problems

KW - Fixed point index

KW - Secondary 34B18

KW - Singularity

UR - https://www.scopus.com/pages/publications/85064790382

U2 - 10.1080/00036810601109101

DO - 10.1080/00036810601109101

M3 - Article

VL - 86

SP - 19

EP - 39

JO - Applicable Analysis

JF - Applicable Analysis

IS - 1

ER -