Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence

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

doi:10.1007/s10883-008-9060-x

Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence

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

Mathematics

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

10 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of Dynamical and Control Systems
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s10883-008-9060-x
Publication status	Published - 1 Jan 2009

Keywords

Boundary-value problems
Fixed-point index
Singularity

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

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

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10.1007/s10883-008-9060-x

Cite this

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

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

KW - Boundary-value problems

KW - Fixed-point index

KW - Singularity

UR - https://www.scopus.com/pages/publications/58149355185

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DO - 10.1007/s10883-008-9060-x

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JO - Journal of Dynamical and Control Systems

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Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence

Abstract

Keywords

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

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