Positive solutions for regular and singular fourth-order boundary value problems

Jifeng Chu; Donald O'Regan

Positive solutions for regular and singular fourth-order boundary value problems

Jifeng Chu
, Donald O'Regan

Mathematics

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

15 Citations (Scopus)

Abstract

By applying well-known fixed point theorems in cones, we study the existence of positive solutions for fourth-order boundary value problem x⁽⁴⁾(t) + βx″(t) = f(t, x), 0 < t < 1 with x(0) = x(1) = x″(0) = x″(1) = 0, where 0 < β < π². We discuss both the singular case and the regular case.

Original language	English
Pages (from-to)	185-199
Number of pages	15
Journal	Communications in Applied Analysis
Volume	10
Issue number	2-3
Publication status	Published - Apr 2006

Cite this

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title = "Positive solutions for regular and singular fourth-order boundary value problems",

abstract = "By applying well-known fixed point theorems in cones, we study the existence of positive solutions for fourth-order boundary value problem x(4)(t) + βx″(t) = f(t, x), 0 < t < 1 with x(0) = x(1) = x″(0) = x″(1) = 0, where 0 < β < π2. We discuss both the singular case and the regular case.",

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T1 - Positive solutions for regular and singular fourth-order boundary value problems

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AU - O'Regan, Donald

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AB - By applying well-known fixed point theorems in cones, we study the existence of positive solutions for fourth-order boundary value problem x(4)(t) + βx″(t) = f(t, x), 0 < t < 1 with x(0) = x(1) = x″(0) = x″(1) = 0, where 0 < β < π2. We discuss both the singular case and the regular case.

UR - https://www.scopus.com/pages/publications/33847232243

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VL - 10

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EP - 199

JO - Communications in Applied Analysis

JF - Communications in Applied Analysis

IS - 2-3

ER -

Positive solutions for regular and singular fourth-order boundary value problems

Abstract

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