一类系统特征值的估计

Estimates for Eigenvalues of a System

利用分部积分、Rayleigh定理和不等式估计等方法对一类系统特征值的估计,得到了第k+1个特征值用前k个特征值来估计的不等式,其结果在理论和实际中应用广泛。

This paper considers weighted estimates for eigenvalues of a differential system. The inequality of the upper bound of the（k＋1） th eigenvalue is estimated from the first k eigenvalues by using integral, Reyleigh theorem and inequality estimation. The estimate coefficients do not depend on the measure of the domain in which the problem is concerned.The result is widely used in physics and mechanics.