Asymptotic Behaviour of Negative Eigenvalues of an Operator Differential Equation

被引：0
|
作者：
Baksi, Ozlem [1 ]
机构：
[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey
来源：
FILOMAT | 2022年 / 36卷 / 07期
关键词：
Hilbert Space; Negative Eigenvalue; Asymptotic Behaviour;
D O I：
10.2298/FIL2207411B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we find the asymptotic formulas for the sum of the negative eigenvalues smaller than -epsilon (epsilon > 0) of a self-adjoint operator L defined by the following differential expression l(y) = -(p(x)y' (x))' - Q(x) y(x) with the boundary condition y(0) = 0 in the space L-2(0,infinity; H).
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页码：2411 / 2426
页数：16
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