Multiple positive solutions via index theory for singular boundary value problems with derivative dependence

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

doi:10.1007/s11117-007-2068-8

Multiple positive solutions via index theory for singular boundary value problems with derivative dependence

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

Mathematics

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

5 Citations (Scopus)

Abstract

The existence of multiple positive solutions is presented for the singular second-order boundary value problems {x″ + Φ(t)f(t,x,x′) =0, 0 < t < 1 x(0) = 0, x′(1) = 0 using the fixed point index, where f may be singular at x = 0 and x′ = 0.

Original language	English
Pages (from-to)	687-720
Number of pages	34
Journal	Positivity
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s11117-007-2068-8
Publication status	Published - 1 Nov 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

Access to Document

10.1007/s11117-007-2068-8

Cite this

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title = "Multiple positive solutions via index theory for singular boundary value problems with derivative dependence",

abstract = "The existence of multiple positive solutions is presented for the singular second-order boundary value problems \{x″ + Φ(t)f(t,x,x′) =0, 0 < t < 1 x(0) = 0, x′(1) = 0 using the fixed point index, where f may be singular at x = 0 and x′ = 0.",

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AU - Agarwal, Ravi P.

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

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

KW - Boundary value problems

KW - Fixed point index

KW - Singularity

UR - https://www.scopus.com/pages/publications/35448980394

U2 - 10.1007/s11117-007-2068-8

DO - 10.1007/s11117-007-2068-8

M3 - Article

SN - 1385-1292

VL - 11

SP - 687

EP - 720

JO - Positivity

JF - Positivity

IS - 4

ER -

Multiple positive solutions via index theory for singular boundary value problems with derivative dependence

Abstract

Keywords

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

Access to Document

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