Multiple positive solutions for singular problems with mixed boundary data and derivative dependence

Donal O'Regan

doi:10.1016/j.mcm.2006.06.002

Multiple positive solutions for singular problems with mixed boundary data and derivative dependence

Donal O'Regan

Mathematics

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

2 Citations (Scopus)

Abstract

The existence of at least two positive solutions is presented for the singular second-order boundary value problems{(1) (p(t))(p(t)x(t)) + Phi(t)f(t,x(t), p(t)) = 0, 0 0) p(t)x(t) = 0, x(1) = 0using the fixed point index, where f(0)(1) (1) (p(r))dr = +infinity and f be singular at x = 0 and px = 0. The solutions we construct may be unbounded. (c) 2006 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	404-430
Number of pages	27
Journal	Mathematical And Computer Modelling
Volume	45
Issue number	3-4
DOIs	https://doi.org/10.1016/j.mcm.2006.06.002
Publication status	Published - 1 Feb 2007

Keywords

Boundary value problems
Fixed point index
Singularity

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

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

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10.1016/j.mcm.2006.06.002

Cite this

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N2 - The existence of at least two positive solutions is presented for the singular second-order boundary value problems{(1) (p(t))(p(t)x(t)) + Phi(t)f(t,x(t), p(t)) = 0, 0 0) p(t)x(t) = 0, x(1) = 0using the fixed point index, where f(0)(1) (1) (p(r))dr = +infinity and f be singular at x = 0 and px = 0. The solutions we construct may be unbounded. (c) 2006 Elsevier Ltd. All rights reserved.

AB - The existence of at least two positive solutions is presented for the singular second-order boundary value problems{(1) (p(t))(p(t)x(t)) + Phi(t)f(t,x(t), p(t)) = 0, 0 0) p(t)x(t) = 0, x(1) = 0using the fixed point index, where f(0)(1) (1) (p(r))dr = +infinity and f be singular at x = 0 and px = 0. The solutions we construct may be unbounded. (c) 2006 Elsevier Ltd. All rights reserved.

KW - Boundary value problems

KW - Fixed point index

KW - Singularity

UR - https://www.scopus.com/pages/publications/33750934405

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DO - 10.1016/j.mcm.2006.06.002

M3 - Article

VL - 45

SP - 404

EP - 430

JO - Mathematical And Computer Modelling

JF - Mathematical And Computer Modelling

IS - 3-4

ER -

Multiple positive solutions for singular problems with mixed boundary data and derivative dependence

Abstract

Keywords

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

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