Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions

被引：6
|
作者：
Olgun, Murat [1 ]
Koprubasi, Turhan [1 ]
Aygar, Yelda [1 ]
机构：
[1] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey
来源：
ABSTRACT AND APPLIED ANALYSIS | 2011年
关键词：
QUADRATIC PENCIL; SCHRODINGER OPERATOR; DISCRETE SPECTRUM; SINGULARITIES; EXPANSION;
D O I：
10.1155/2011/608329
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) a(n-1)y(n-1) + b(n)y(n) + a(n)y(n+1) = lambda y(n), n is an element of N and (gamma(0) + gamma(1)lambda)y(1) + (beta(0) + beta(1)lambda)y(0) = 0, where (a(n)) and (b(n)) are complex sequences,. is an eigenparameter, and gamma(i), beta(i) is an element of C for i = 0, 1.
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页数：10
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