MULTIPLE POSITIVE SOLUTIONS TO A FOURTH-ORDER BOUNDARY-VALUE PROBLEM

被引：0

作者：

Cabada, Alberto ^{[1
]}

Precup, Radu ^{[2
]}

Saavedra, Lorena ^{[1
]}

Tersian, Stepan A. ^{[3
,4
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Santiago De Compostela, Galicia, Spain

[2] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

[3] Univ Ruse, Dept Math, Ruse 7017, Bulgaria

[4] Bulgarian Acad Sci, Dept Math & Informat, BU-1113 Sofia, Bulgaria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Fourth-order differential equation; boundary-value problem; positive solution; critical point; fixed point; BEAM EQUATION; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel'skii's compression-expansion theorem, and unilateral Harnack type inequalities.

引用

页数：18

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