Positive fixed points and fourth-order equations

被引：39

作者：

Cid, J. A. ^{[1
]}

Franco, D. ^{[2
]}

Minhos, F. ^{[3
]}

机构：

[1] Univ Jaen, Dept Matemat, Jaen 23071, Spain

[2] Univ Nacl Educ Distancia, Dept Matemat Aplicada, Madrid 28040, Spain

[3] Univ Evora, Dept Matemat, CIMA UE, P-7000671 Evora, Portugal

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2009年 / 41卷

关键词：

BOUNDARY-VALUE-PROBLEMS; EXISTENCE;

D O I：

10.1112/blms/bdn105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work presents sufficient conditions for the existence of at least one positive solution for a nonlinear fourth-order beam equation under Lidstone boundary conditions. The main tool used is a fixed point theorem that essentially combines the monotone iterative technique with fixed point theorems of cone expansion or compression type. The last section contains two examples that complement some related results existent in the literature.

引用

页码：72 / 78

页数：7

共 25 条

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