POSITIVE SOLUTIONS FOR A FOURTH ORDER DIFFERENTIAL INCLUSION BASED ON THE EULER-BERNOULLI EQUATION FOR A CANTILEVER BEAM

被引：0

作者：

Spraker, John S. ^{[1
]}

机构：

[1] Western Kentucky Univ, Dept Math, 1906 Coll Hts Blvd, Bowling Green, KY 42102 USA

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2019年 / 11卷 / 04期

关键词：

Existence of solutions; fourth order differential inclusion; fixed point; boundary value problem; Ascoli theorem; EXISTENCE;

D O I：

10.7153/dea-2019-11-26

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An existence result for positive solutions to a fourth order differential inclusion with boundary values is given. This is accomplished by using a fixed point theorem on cones for multivalued maps, L-1 selections and a generalization of the Ascoli theorem. The inclusion allows the function and its first three derivatives to be on the right-hand side. The proof involves a Green's function and a positive eigenvalue of a particular operator. An example is provided.

引用

页码：531 / 541

页数：11

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