左端固定右端被滑动夹子夹住的非线性弹性梁方程的一个存在定理(英文)  

An Existence Theorem of Nonlinear Elastic Beam Equations Fixed at Left and Clamped at Right by Sliding Clamps

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,南京210003

出　　处：《应用泛函分析学报》2007年第2期112-116,共5页Acta Analysis Functionalis Applicata

摘　　要：通过运用积分方程并考察非线性项的“高度”对一类含有各阶导数的四阶两点边值问题建立了一个解的存在定理.在力学上,这类问题描述了一个左端固定右端被滑动夹子夹住的非线性弹性的形态.An existence theorem of solution is established for a class of fourth-ordet two-point boundary value problems with all order derivatives by using integral equation and considering the ＂height＂ of nonlinear term. In mechanics, the class of problems describes the deflection of a elastic beam fixed at left and clamped at right by sliding clamps.

关 键 词：非线性常微分方程 边值问题 奇异性 存在性 不动点 

分 类 号：O175.08[理学—数学]