Spectral properties of generalized eigenparameter dependent discrete Sturm-Liouville type equation

被引：7
|
作者：
Koprubasi, Turhan [1 ,2 ]
Mohapatra, R. N. [2 ]
机构：
[1] Kastamonu Univ, Dept Math, TR-37100 Kastamonu, Turkey
[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
来源：
QUAESTIONES MATHEMATICAE | 2017年 / 40卷 / 04期
关键词：
34L05; 34L40; 39A70; 47A10; 47A75; Discrete equations; eigenparameter; spectral analysis; eigenvalues; spectral singularities; principal functions; DIFFERENCE-EQUATIONS; JOST SOLUTIONS; SYSTEM;
D O I：
10.2989/16073606.2017.1299809
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L denote the non-selfadjoint difference operator of second order with boundary condition generated in (2) (N) by{a(n)}(nN) and {b(n)}(nN) are complex sequences, (i), (i) C, i = 0, 1, 2,..., p and is a eigenparameter. Discussing the spectral properties of L, we investigate the Jost function, spectrum, the spectral singularities, and the properties of the principal vectors corresponding to the spectral singularities of L, if. (n=1)Sigma(n) (vertical bar 1 - a(n) vertical bar+vertical bar b(n)vertical bar ) < infinity.
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页码：491 / 505
页数：15
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