两端简单支撑的不连续梁方程的可解性

摘要

研究一个四阶两点边值问题解的存在性,其中非线性项是Caratheodory函数并且包含了未知函数的各阶导数.在力学上,此问题表述了两端简单支撑的弹性梁的挠曲.%The existence of solution for a fourth-order two-point boundary value problem is studied,where function.In mechanics,the problem describes the deflection of an elastic beam simply supported at both ends.