ON SPECTRA OF MULTIPLE BAND GENERALIZED DIFFERENCE OPERATOR-MATRICES WITH RETURNED SEQUENCES

被引：0

作者：

Akhmedov, Ali M. ^{[1
]}

机构：

[1] Baku State Univ, Baku, Azerbaijan

来源：

PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL. 1 | 2020年

关键词：

Spectrum; Double Band Matrix; Multiple Band Matrix; Returned Sequences;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work, we study the behavior of the sequence (a(n)) of complex numbers satisfying the relation a(n+k) = q(1)a(n) + q(2)a(n+1) + ... + q(k)a(n+k-1), where q(n) is a fixed sequence of complex numbers. Such kind of sequences arise in problems of analysis,fixed point theory, dynamical systems, theory of chaos, etc. [1-3, 5, 7, 8]. Studying the spectra of multiple band space (triple and more than triple band triangle operator- matrices), the behavior of such sequence required. From the point of application, the proved results and formulas in the literature for the spectra of the operator-matrices look like very complicated. In this work we apply receiving results to some spectral problems for the multiple band generalized operator - matrices.

引用

页码：62 / 64

页数：3

共 9 条

[1]

Akhmedov A.M., 2020, RETURNED SEQUENCES A

[2]

Akhmedov A, 2018, PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, P44

[3] The fine spectra of the difference operator δ over the sequence space bυp, (1 ≤ p < ∞) [J].