Hyers-Ulam Stability of a System of First Order Linear Recurrences with Constant Coefficients

Bing Xu and Janusz Brzdęk

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-5

Abstract:

We study the Hyers-Ulam stability in a Banach space of the system of first order linear difference equations of the form for (nonnegative integers), where is a given matrix with real or complex coefficients, respectively, and is a fixed sequence in . That is, we investigate the sequences in such that (with the maximum norm in ) and show that, in the case where all the eigenvalues of are not of modulus 1, there is a positive real constant (dependent only on ) such that, for each such a sequence , there is a solution of the system with .

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2015/269356.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2015/269356.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:269356

DOI: 10.1155/2015/269356

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().