Triple positive solutions for a class of two-point boundary-value problems

Zhanbing Bai; Yifu Wang; Weigao Ge

Triple positive solutions for a class of two-point boundary-value problems

Zhanbing Bai^*
, Yifu Wang
, Weigao Ge

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

We obtain sufficient conditions for the existence of at least three positive solutions for the equation x″(t) + q(t)f(t, x(t), x′(t)) = 0 subject to some boundary conditions. This is an application of a new fixed-point theorem introduced by Avery and Peterson [6].

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Electronic Journal of Differential Equations
Volume	2004
Publication status	Published - 2 Jan 2004

Keywords

Boundary-value problem
Fixed-point theorem
Triple positive solutions

Cite this

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title = "Triple positive solutions for a class of two-point boundary-value problems",

abstract = "We obtain sufficient conditions for the existence of at least three positive solutions for the equation x″(t) + q(t)f(t, x(t), x′(t)) = 0 subject to some boundary conditions. This is an application of a new fixed-point theorem introduced by Avery and Peterson [6].",

keywords = "Boundary-value problem, Fixed-point theorem, Triple positive solutions",

author = "Zhanbing Bai and Yifu Wang and Weigao Ge",

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T1 - Triple positive solutions for a class of two-point boundary-value problems

AU - Bai, Zhanbing

AU - Wang, Yifu

AU - Ge, Weigao

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N2 - We obtain sufficient conditions for the existence of at least three positive solutions for the equation x″(t) + q(t)f(t, x(t), x′(t)) = 0 subject to some boundary conditions. This is an application of a new fixed-point theorem introduced by Avery and Peterson [6].

AB - We obtain sufficient conditions for the existence of at least three positive solutions for the equation x″(t) + q(t)f(t, x(t), x′(t)) = 0 subject to some boundary conditions. This is an application of a new fixed-point theorem introduced by Avery and Peterson [6].

KW - Boundary-value problem

KW - Fixed-point theorem

KW - Triple positive solutions

UR - https://www.scopus.com/pages/publications/3042696725

M3 - Article

AN - SCOPUS:3042696725

SN - 1072-6691

VL - 2004

SP - 1

EP - 8

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Triple positive solutions for a class of two-point boundary-value problems

Abstract

Keywords

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