一类微分方程组特征值的上界

Upper Bound for Eigenvalues of a Differential System

应用了积分的分部积分法、席瓦兹(Schwartz)不等式和瑞利(Rayleigh)定理等有关方法,估计了微分方程组(1)的特征值的上界,得到了特征值上界估计的几个重要结论,即特征值上界估计的不等式定理1和定理2。该结论在实际中有着广泛应用。

Estimating the Upper Bound of Eigenvalues of Differential System(1),Some important conclusions Theorem1 and Theorem2 about the upper bound estimation of eigenvalues are obtained, The method of integral by parts,Schwartz Inequality and Rayleigh Theorem is used in the research.