Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems

被引：0

作者：

Zhan Bing BAI Institute of MathematicsShandong University of Science and TechnologyQingdao PRChinaWei Gao GE Department of Applied MathematicsBeijing Institute of TechnologyBeijing PRChina ^{[266510
,100081
]}

机构：

来源：

ActaMathematicaSinica(EnglishSeries) | 2006年 / 22卷 / 06期

关键词：

fourth-order boundary value problem; fixed point theorem; positive solution;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

<正> In this paper,we generalize the fixed point theorem of cone expansion and compression ofnorm type to the theorem of functional type.As an application,the existence of positive solutions forsome fourth-order beam equation boundary value problems is obtained.The emphasis is put on thatthe nonlinear term is dependent on all lower order derivatives.

引用

页码：1825 / 1830

页数：6

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