EIGENVALUES AND EIGENFUNCTIONS OF DISCONTINUOUS TWO-POINT BOUNDARY VALUE PROBLEMS WITH AN EIGENPARAMETER IN THE BOUNDARY CONDITION

被引：1

作者：

Caliskan, S. ^{[1
]}

Bayramov, A. ^{[2
]}

Oer, Z. ^{[1
]}

Uslu, S. ^{[1
]}

机构：

[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, TR-34210 Istanbul, Turkey

[2] Recep Tayyip Erdogan Univ, Fac Educ, Dept Math Educ, Rize, Turkey

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2013年 / 43卷 / 06期

关键词：

Two-point boundary value problems; transmission condition; asymptotic of eigenvalues and eigenfunctions; discontinuous boundary value problems; PARAMETER;

D O I：

10.1216/RMJ-2013-43-6-1871

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission conditions at the two points of discontinuity. When our problem is continuous the obtained results coincide with the corresponding results in [3].

引用

页码：1871 / 1892

页数：22

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