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Hyers-Ulam stability of the first order inhomogeneous matrix difference equation
- Authors
- Jung, Soon-Mo; Nam, Young Woo
- Issue Date
- Dec-2017
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- difference equation; matrix difference equation; Hyers-Ulam stability; Fibonacci difference equation; extended Fibonacci number; approximation
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.23, no.8, pp.1368 - 1383
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 23
- Number
- 8
- Start Page
- 1368
- End Page
- 1383
- ISSN
- 1521-1398
- Abstract
- We prove Hyers-Ulam stability of the first order linear inhomogeneous matrix difference equation (x) over right arrow (i)+1 = A(i)(x) over right arrow (i) +(g) over right arrow (i) for all integers i is an element of Z. Moreover, we show Hyers-Ulam stability of the nth order linear difference equation as a corollary.
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