Multiple positive solutions of fourth-order boundary value problems

Xu Xiaojie; Daqing Jiang; Donal O'Regan; R. P. Agarwal

Multiple positive solutions of fourth-order boundary value problems

Xu Xiaojie, Daqing Jiang, Donal O'Regan, R. P. Agarwal

Mathematics

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

6 Citations (Scopus)

Abstract

In this paper, we discuss the existence of multiple positive solutions for the fourth-order boundary value problem (BVP) u⁽⁴⁾(t) + βu″(t) =f(t,u(t)), 0<t< 1, u(0) = u(1) = uPrime;(0) = u″(1) = 0, where f: [0. 1] × [0, ∞) → [0, ∞) is continuous and β< π². Existence is established via the theory of fixed point index in cones.

Original language	English
Pages (from-to)	79-88
Number of pages	10
Journal	Mathematical Inequalities and Applications
Volume	8
Issue number	1
Publication status	Published - Jan 2005

Keywords

Cone
Existence
Fixed point index
Multiple positive solutions

Cite this

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title = "Multiple positive solutions of fourth-order boundary value problems",

abstract = "In this paper, we discuss the existence of multiple positive solutions for the fourth-order boundary value problem (BVP) u(4)(t) + βu″(t) =f(t,u(t)), 02. Existence is established via the theory of fixed point index in cones.",

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author = "Xu Xiaojie and Daqing Jiang and Donal O'Regan and Agarwal, \{R. P.\}",

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N2 - In this paper, we discuss the existence of multiple positive solutions for the fourth-order boundary value problem (BVP) u(4)(t) + βu″(t) =f(t,u(t)), 02. Existence is established via the theory of fixed point index in cones.

AB - In this paper, we discuss the existence of multiple positive solutions for the fourth-order boundary value problem (BVP) u(4)(t) + βu″(t) =f(t,u(t)), 02. Existence is established via the theory of fixed point index in cones.

KW - Cone

KW - Existence

KW - Fixed point index

KW - Multiple positive solutions

UR - https://www.scopus.com/pages/publications/20144370834

M3 - Article

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VL - 8

SP - 79

EP - 88

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 1

ER -

Multiple positive solutions of fourth-order boundary value problems

Abstract

Keywords

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