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).

引用

页码：2411 / 2426

页数：16

共 50 条

[41] Integrability and asymptotic behaviour of a differential-difference matrix equation
Gordoa, Pilar R.
Pickering, Andrew
Wattis, Jonathan A.D.
Physica D: Nonlinear Phenomena, 2021, 415
[42] The asymptotic behaviour of the Cesaro operator
Pritchard, Andrew K. J.
Seifert, David
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (01)
[43] THE ASYMPTOTIC DISTRIBUTION OF THE EIGENVALUES AND EIGENFUNCTIONS OF THE SELF-ADJOINT ELLIPTIC DIFFERENTIAL OPERATOR WITH VARIABLE COEFFICIENTS
BROWDER, FE
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (04) : 345 - 345
[44] ASYMPTOTIC FORMULAS WITH REMAINDER ESTIMATES FOR EIGENVALUES OF TRICOMI DIFFERENTIAL OPERATOR OF 1ST KIND
BERGER, G
MATHEMATISCHE NACHRICHTEN, 1979, 87 : 153 - 159
[45] ASYMPTOTICS OF EIGENVALUES OF A SINGULAR DIFFERENTIAL OPERATOR
DUBROVSKII, VV
ALIVERDIEV, VK
DIFFERENTIAL EQUATIONS, 1994, 30 (01) : 29 - 34
[46] DISTRIBUTION OF THE EIGENVALUES OF A MATRIX DIFFERENTIAL OPERATOR
CHAKRAVARTY, NK
KUMARSENGUPTA, P
JOURNAL OF THE INDIAN INSTITUTE OF SCIENCE SECTION B-PHYSICAL & CHEMICAL SCIENCES, 1979, 61 (02): : 19 - 42
[47] Asymptotic behaviour of a nonautonomous evolution equation governed by a quasi-nonexpansive operator
Zhu, Ming
Hu, Rong
Fang, Ya-Ping
OPTIMIZATION, 2022, 71 (15) : 4463 - 4495
[48] ON EIGENVALUES OF A BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION
Aliev, Bahram A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2019, 45 (02): : 213 - 221
[49] ASYMPTOTIC-DISTRIBUTION OF EIGENVALUES OF SECONDARILY QUANTIZED OPERATOR
BORZOV, VV
MATHEMATICAL NOTES, 1979, 26 (3-4) : 763 - 770
[50] Asymptotic Behaviors of the Eigenvalues of Schrodinger Operator with Critical Potential
Jia, Xiaoyao
Zhao, Yan
Zhai, Haoyu
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →