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

摘要

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.%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.