Existence of positive solutions to fourth order quasilinear boundary value problems

被引：9
|
作者：
Bai, Zhan Bing [1 ]
Ge, Wei Gao
机构：
[1] Shandong Univ Sci & Technol, Inst Math, Qingdao 266510, Peoples R China
[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 06期
关键词：
fourth-order boundary value problem; fixed point theorem; positive solution;
D O I：
10.1007/s10114-005-0806-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：6
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