| 一端简单支撑、另一端活动的非线性四阶边值问题的正解 |
| |
| 引用本文： | 姚庆六.一端简单支撑、另一端活动的非线性四阶边值问题的正解[J].华东理工大学学报(自然科学版),2006,32(1):118-121. |
| |
| 作者姓名： | 姚庆六 |
| |
| 作者单位： | 南京财经大学应用数学系,南京,210003 |
| |
| 摘 要： | 利用一个三阶两点边值问题的G reen函数和锥拉伸与锥压缩型的K rasnasel'sk ii不动点定理研究了一个非线性四阶边值问题正解存在性和多解性。描述了一端简单支撑,另一端活动的弹性梁的形变。结果表明:只要非线性项在某些有界集合上的“高度”是适当的,该问题至少有n个正解(n是一个任意的自然数)
|
| 关 键 词： | 边值问题 正解 存在性 多解性 |
| 文章编号： | 1006-3080（2006）01-0118-04 |
| 收稿时间： | 2004-12-27 |
| 修稿时间： | 2004年12月27 |
Positive Solutions of a Nonlinear Fourth-Order Boundary Value Problem with a Simply Supported End and a Movable End |
| |
| YAO Qing-liu.Positive Solutions of a Nonlinear Fourth-Order Boundary Value Problem with a Simply Supported End and a Movable End[J].Journal of East China University of Science and Technology,2006,32(1):118-121. |
| |
| Authors: | YAO Qing-liu |
| |
| Abstract: | By applying a Green function of third-order two-point boundary value problem and the Krasnosel'skii fixed point theorem of cone expansion-compression type,the existence and multiplicity of positive solutions is studied for a nonlinear fourth-order boundary value problem.The deformation is(described) for the elastic beam whose one end is simply supported and other is movable.Main results show that the problem has at least n positive solutions provided the "heights"are appropriate on some bounded sets(n is an arbitrary natural number). |
| |
| Keywords: | boundary value problem positive solution existence multiplicity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
