On the Characterization of a Class of Difference Equations
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We focus on the behavior of solutions of the difference equation xn=b1xn−1+b2xn−2+⋯+bnx0+yn, n=1,2,…, where (bk) is a fixed sequence of complex numbers, and (yk) is a fixed sequence in a complex Banach space.
We give the general solution of this difference equation.
To examine the asymptotic behavior of solutions, we compute the spectra of operators which correspond to such type of difference equations.
These operators are represented by upper triangular or lower triangular infinite banded Toeplitz matrices.
American Psychological Association (APA)
Altun, Muhammed. 2011. On the Characterization of a Class of Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-481549
Modern Language Association (MLA)
Altun, Muhammed. On the Characterization of a Class of Difference Equations. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-481549
American Medical Association (AMA)
Altun, Muhammed. On the Characterization of a Class of Difference Equations. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-481549
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481549