随机微分方程特征值期望的上界估计
Upper bounds for the means of the higher eigenvalues of random eigenvalue problems
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摘要: 利用变分原理,从不同角度,讨论了随机微分方程特征问题特征值的性质,给出了其期望值的两个上界估计式。Abstract: By means of the principle of variation two formulas are derived to estimate the upper bounds for the means of the eigenvalues of the random problemExtensions leading to the general case are possible to be obtained from the discussions of the simple case provided.