Weak singularities and existence of solutions to (k, n - k) conjugate boundary value problems

Donal O'Regan

doi:10.1016/j.nonrwa.2008.05.013

Weak singularities and existence of solutions to (k, n - k) conjugate boundary value problems

Donal O'Regan

Mathematics

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

3 Citations (Scopus)

Abstract

We study the existence of multiple positive solutions to the singular (k, n - k) conjugate boundary value problem with 1 = k = n - 1. A new weak force condition will guarantee new existence criteria. Our analysis is based on Schauders fixed point theorem. (C) 2008 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	2627-2632
Number of pages	6
Journal	Nonlinear Analysis-Real World Applications
Volume	10
Issue number	5
DOIs	https://doi.org/10.1016/j.nonrwa.2008.05.013
Publication status	Published - 1 Oct 2009

Keywords

(k, n - k) conjugate boundary value problem
Positive solutions
Schauder's fixed point theorem
Weak singularity

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

Authors
Zu, L,Jiang, DQ,Gai, YJ,O'Regan, D,Gao, HY

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10.1016/j.nonrwa.2008.05.013

Cite this

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title = "Weak singularities and existence of solutions to (k, n - k) conjugate boundary value problems",

abstract = "We study the existence of multiple positive solutions to the singular (k, n - k) conjugate boundary value problem with 1 = k = n - 1. A new weak force condition will guarantee new existence criteria. Our analysis is based on Schauders fixed point theorem. (C) 2008 Elsevier Ltd. All rights reserved.",

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AU - O'Regan, Donal

PY - 2009/10/1

Y1 - 2009/10/1

N2 - We study the existence of multiple positive solutions to the singular (k, n - k) conjugate boundary value problem with 1 = k = n - 1. A new weak force condition will guarantee new existence criteria. Our analysis is based on Schauders fixed point theorem. (C) 2008 Elsevier Ltd. All rights reserved.

AB - We study the existence of multiple positive solutions to the singular (k, n - k) conjugate boundary value problem with 1 = k = n - 1. A new weak force condition will guarantee new existence criteria. Our analysis is based on Schauders fixed point theorem. (C) 2008 Elsevier Ltd. All rights reserved.

KW - (k, n - k) conjugate boundary value problem

KW - Positive solutions

KW - Schauder's fixed point theorem

KW - Weak singularity

UR - https://www.scopus.com/pages/publications/64049094739

U2 - 10.1016/j.nonrwa.2008.05.013

DO - 10.1016/j.nonrwa.2008.05.013

M3 - Article

VL - 10

SP - 2627

EP - 2632

JO - Nonlinear Analysis-Real World Applications

JF - Nonlinear Analysis-Real World Applications

IS - 5

ER -

Weak singularities and existence of solutions to (k, n - k) conjugate boundary value problems

Abstract

Keywords

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

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