Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory

Bao Qiang Yan; Donal O'Regan; Ravi P. Agarwal

doi:10.1007/s10255-007-7024-7

Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory

Bao Qiang Yan
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

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

2 Citations (Scopus)

Abstract

This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in χ at +∞.

Original language	English
Pages (from-to)	529-540
Number of pages	12
Journal	Acta Mathematicae Applicatae Sinica
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s10255-007-7024-7
Publication status	Published - 1 Oct 2008

Keywords

Cone
Fixed point index
Three-point boundary value problems

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/s10255-007-7024-7

Cite this

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abstract = "This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in χ at +∞.",

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AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2008/10/1

Y1 - 2008/10/1

N2 - This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in χ at +∞.

AB - This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in χ at +∞.

KW - Cone

KW - Fixed point index

KW - Three-point boundary value problems

UR - https://www.scopus.com/pages/publications/53849120979

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DO - 10.1007/s10255-007-7024-7

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

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ER -

Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory

Abstract

Keywords

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

Access to Document

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