Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems

被引：0
|
作者：
Zhan Bing Bai
Wei Gao Ge
机构：
[1] Shandong University of Science and Technology,Institute of Mathematics
[2] Beijing Institute of Technology,Department of Applied Mathematics
来源：
Acta Mathematica Sinica | 2006年 / 22卷
关键词：
Keywords fourth–order boundary value problem; fixed point theorem; positive solution; 34B15;
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学科分类号：
摘要：
In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth–order beam equation boundary value problems is obtained. The emphasis is put on that the nonlinear term is dependent on all lower order derivatives.
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页码：1825 / 1830
页数：5
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