两端简单支撑的不连续梁方程的可解性(英文)

Solvability of Discontinuous Beam Equations Simply Supported at Both Ends

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 the nonlinear term is a Carathéodory function and contains all lower order derivatives of the unknown function.In mechanics,the problem describes the deflection of an elastic beam simply supported at both ends.