On the eigenvalue problems for differential operators with coupled boundary conditions

被引：2
作者：
Sajavicius, S. [1 ,2 ]
机构：
[1] Vilnius Univ, Fac Math & Informat, LT-03225 Vilnius, Lithuania
[2] Mykolas Romeris Univ, Fac Social Informat, LT-08303 Vilnius, Lithuania
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2010年 / 15卷 / 04期
关键词：
coupled boundary conditions; eigenvalue problem; differential operator; STABILITY; EQUATION; SCHEME;
D O I：
10.15388/NA.15.4.14320
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered. Conditions for the existence of zero, positive, negative or complex eigenvalues are proposed and analytical expressions of eigenvalues are provided.
引用
收藏
页码：493 / 500
页数：8
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