一类5阶常微分方程特征值的上界

Upper Bound for Eigenvalues for a Five-order Differential Equation

根据Rayleigh定理、分部积分及不等式估计等方法,得到一类5阶常微分方程特征值估计的上界的不等式,其估计系数与区间的几何度量无关。其结果在物理学和力学等领域有着广泛的应用。

This paper considers the estimates for eigenvalues of a differential equation.Some test function is constructed and then the Rayleigh theorem is used to obtain a basic inequality.