某类常微分方程组的特征值不等式

Inequalities of Eigenvalues for One Defferntial Equations

本文推导出某类二阶线性常微分方程组的特征值不等式，利用前ｎ个特征值来估计出第ｎ＋１个特征值的上界，其估计不依赖于区间的几何度量．

This paper derives the inequalities of eigenvalues for one linear differential equations of second order. The upper bounds of the (n+1)th eigenvalue are shown by the first eigenvalues. These estimates do not depend on the measure of domain in which the problem is considered.