ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF A BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION

被引：0

作者：

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

Kurbanova, Nargul K. ^{[2
]}

机构：

[1] Azerbaijan State Pedag Univ, AZ-1000 Baku, Azerbaijan

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

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2014年 / 40卷

关键词：

differential-operator equation; elliptic equations; spectral parameter; eigenvalues; Regge problem; asymptotic formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, in the Hilbert space H we obtain asymptotic formulas for eigenvalues of a boundary value problems for differential operator equations in the case when both boundary conditions contain a spectral parameter.

引用

页码：23 / 29

页数：7

共 12 条

[1] Aliev BA, 2006, ADV DIFFERENTIAL EQU, V11, P1081
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Aliev, B. A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (01) : 1 - 14
[3] ALIEV B. A., 2005, T NATL ACAD SCI PTMS, V25, P3
[4] ALIEV B. A., 2006, UKR MATH J, V58, P1146, DOI DOI 10.1007/s11253-006-0134-1
[5] DISTRIBUTION OF EIGENVALUES AND TRACE FORMULA FOR THE STURM-LIOUVILLE OPERATOR EQUATION
Bairamogly, M.
Aslanova, N. M.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (07) : 1005 - 1017
[6] CLASS OF BOUNDARY-VALUE PROBLEMS WITH SPECTRAL PARAMETER IN BOUNDARY-CONDITION
BRUK, VM
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1976, 29 (02): : 186 - 192
[7] Gorbachuk V. I, 1981, DIRECT INVERSE PROBL, P3
[8] Kerimov NB, 1999, SIBERIAN MATH J+, V40, P281
[9] OLEINIK L. A., 1986, SPECTRAL THEORY DIFF, P25
[10] Rybak M. A, 1980, UKR MATH J+, V32, P159, DOI [10.1007/BF01092795, DOI 10.1007/BF01092795]

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