EIGENVALUE PROBLEM ASSOCIATED WITH THE FOURTH ORDER DIFFERENTIAL-OPERATOR EQUATION

被引：8

作者：

Aslanova, Nigar M. ^{[1
]}

Bayramoglu, Mamed ^{[1
]}

Aslanov, Khalig M. ^{[2
]}

机构：

[1] Azerbaijan Univ Architecture & Construct, Inst Math & Mech, NAS Azerbaijan, Differential Equat Dept, 9 F Agayev Str, AZ-1141 Baku, Azerbaijan

[2] Azerbaijan State Univ Econ UNEC, 6 Istiglaliyyat Str, AZ-1001 Baku, Azerbaijan

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 06期

关键词：

Hilbert space; differential operator equation; spectrum; eigenvalues; trace class operators; regularized trace; BOUNDARY-VALUE-PROBLEMS; REGULARIZED TRACE; EIGENPARAMETER;

D O I：

10.1216/RMJ-2018-48-6-1763

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the boundary value problem for fourth order differential operator equations with unbounded operator coefficients and one lambda-dependent boundary condition. We obtain an asymptotic formula for eigenvalues and a trace formula for the corresponding self-adjoint operator.

引用

页码：1763 / 1779

页数：17

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