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The Asymptotics of Eigenvalues and Eigenfunctions of a Singular Quasidifferential Operator on a Finite Interval

机译:有限区间上奇异拟微分算子的特征值和特征函数的渐近性

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摘要

Differential expressions containing terms of the form (p(x)y~(m))~(n) often occur in applied problems. If the coefficient p(x) is not sufficiently smooth, then such expressions cannot be reduced to ordinary differential expressions by n-fold differentiation; hence they are referred to as quasidifferential.
机译:包含形式为(p(x)y〜(m))〜(n)的项的微分表达式经常出现在应用问题中。如果系数p(x)不够平滑,则无法通过n倍微分将此类表达式简化为常微分表达式;因此,它们被称为准差分。

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