Positive solutions for eigenvalue problems of fourth-order elastic beam equations

被引：133
|
作者：
Yao, QL [1 ]
机构：
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 02期
关键词：
fourth-order elastic beam equations; positive solution; Krasnosel'skii fixed-point theorem; eigenvalue; existence;
D O I：
10.1016/S0893-9659(04)90037-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the positive solutions of equations omega((4))(t) = gimelf(t,omega(t)) with omega(0) = omega(1) = omega'(0) = omega'(1) = 0. We obtain several existence and multiplicity results by an application of the Krasnosel'skii fixed-point theorem of cone expansion-compression type. This class of equations usually describes the deformations of elastic beams with fixed both endpoints. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：237 / 243
页数：7
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