On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences |
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| Authors: | Yacine Halim Mustafa Bayram |
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| Institution: | 1. Department of Mathematics and Computer Science, Mila University Center, Mila, Algeria;2. LMAM laboratory, Mohammed Seddik Benyahia University, Jijel, Algeria;3. Faculty of Health Sciences, Uskudar University, Istanbul, Turkey |
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| Abstract: | This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation ![urn:x-wiley:mma:media:mma3745:mma3745-math-0002]( "urn:x-wiley:mma:media:mma3745:mma3745-math-0002") where  and the initial values x?k,x?k + 1,…,x0 are nonzero real numbers, such that their solutions are associated to Horadam numbers. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | difference equations general solution stability Horadam numbers |
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