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http://dx.doi.org/10.4134/BKMS.2007.44.4.841

HYERS-ULAM-RASSIAS STABILITY OF A SYSTEM OF FIRST ORDER LINEAR RECURRENCES  

Xu, Mingyong (DEPARTMENT OF MATHEMATICS SICHUAN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 841-849 More about this Journal
Abstract
In this paper we discuss the Hyers-Ulam-Rassias stability of a system of first order linear recurrences with variable coefficients in Banach spaces. The concept of the Hyers-Ulam-Rassias stability originated from Th. M. Rassias# stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. As an application, the Hyers-Ulam-Rassias stability of a p-order linear recurrence with variable coefficients is proved.
Keywords
Hyers-Ulam-Rassias stability; linear recurrence; sequence; product space;
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Times Cited By Web Of Science : 2  (Related Records In Web of Science)
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