On the Nonclassical Asymptotics of the Eigenvalues of a Boundary Value Problem for a Second-Order Differential-Operator Equation

被引：0

作者：

Aliev, B. A. ^{[1
,2
]}

机构：

[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku AZ-1141, Azerbaijan

[2] Azerbaijan State Pedag Univ, Baku 370000, Azerbaijan

来源：

DIFFERENTIAL EQUATIONS | 2022年 / 58卷 / 12期

关键词：

SQUARED SPECTRAL PARAMETER; BEHAVIOR; SERIES;

D O I：

10.1134/S00122661220120011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a separable Hilbert space H, we study the asymptotic behavior of the eigenvalues of a boundary value problem for a second-order differential-operator equation. The spectral parameter of the problem occurs linearly in the equation and as a quadratic trinomial in one of the boundary conditions. Asymptotic formulas for the eigenvalues of the problem are found.

引用

页码：1571 / 1578

页数：8

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