Multiple positive solutions of singular positone Dirichlet problems with derivative dependence

Baoqiang Yan; Donal O'Regan; Ravi P. Agarwal

doi:10.1017/S0017089506003089

Multiple positive solutions of singular positone Dirichlet problems with derivative dependence

Baoqiang Yan, Donal O'Regan, Ravi P. Agarwal

Mathematics

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Abstract

The existence of multiple positive solutions is presented for the singular Dirichlet boundary value problems x″ + Φ(t)f(t, x(t), |x′(t)|) = 0, x(0) = 0, x(1) = 0, using the fixed point index; here f may be singular at x = 0 and x′ = 0.

Original language	English
Pages (from-to)	309-329
Number of pages	21
Journal	Glasgow Mathematical Journal
Volume	48
Issue number	2
DOIs	https://doi.org/10.1017/S0017089506003089
Publication status	Published - 1 May 2006

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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10.1017/S0017089506003089

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title = "Multiple positive solutions of singular positone Dirichlet problems with derivative dependence",

abstract = "The existence of multiple positive solutions is presented for the singular Dirichlet boundary value problems x″ + Φ(t)f(t, x(t), |x′(t)|) = 0, x(0) = 0, x(1) = 0, using the fixed point index; here f may be singular at x = 0 and x′ = 0.",

author = "Baoqiang Yan and Donal O'Regan and Agarwal, \{Ravi P.\}",

year = "2006",

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doi = "10.1017/S0017089506003089",

language = "English",

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T1 - Multiple positive solutions of singular positone Dirichlet problems with derivative dependence

AU - Yan, Baoqiang

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2006/5/1

Y1 - 2006/5/1

N2 - The existence of multiple positive solutions is presented for the singular Dirichlet boundary value problems x″ + Φ(t)f(t, x(t), |x′(t)|) = 0, x(0) = 0, x(1) = 0, using the fixed point index; here f may be singular at x = 0 and x′ = 0.

AB - The existence of multiple positive solutions is presented for the singular Dirichlet boundary value problems x″ + Φ(t)f(t, x(t), |x′(t)|) = 0, x(0) = 0, x(1) = 0, using the fixed point index; here f may be singular at x = 0 and x′ = 0.

UR - https://www.scopus.com/pages/publications/33747685299

U2 - 10.1017/S0017089506003089

DO - 10.1017/S0017089506003089

M3 - Article

SN - 0017-0895

VL - 48

SP - 309

EP - 329

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 2

ER -

Multiple positive solutions of singular positone Dirichlet problems with derivative dependence

Abstract

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