We obtain necessary and sufficient conditions for the asymptotic stability of the difference equation xn+1 − axn + bxn−k = 0, n = 0, 1, 2, ..., where the ...
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21 thg 11, 2018 · In this paper, we study the asymptotic behavior of the solutions of a new class of difference equations $$x_{n+1}=ax_{n-l}+bx_{n-k}+f ...
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14 thg 6, 2006 · 1. Introduction. In this paper we deal with some properties of the solutions of the difference equation xn+1 = axn − bxn cxn − dxn−1.
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ON THE DIFFERENCE EQUATION xn+1 = axn −bxn/(cxn −dxn−1). E. M. ELABBASY, H. EL-METWALLY, AND E. M. ELSAYED. Received 14 June 2006; Revised 3 September ...
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5 thg 7, 2022 · In this paper, we study the asymptotic behavior of the solutions of a new class of difference equations x_{n+1}=ax_{n-l}+bx_{n-k}+f(x_{n-l} ...
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In [11], Devault et al. studied the recursive sequence xn+1 = A xn ... axn + bxn–1 cxn + dxn–1 xn. (1.3) and investigate the asymptotic behavior and the ...
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[5] investigated the global stability, periodicity character and give the solution of special case of the following recursive sequence xn+1 = axn − bxn.
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xn+1 = Axn + Bxn-k + Cxn_l + , n = 1, •••. dxn-k exn-l. where the coefficients A, B, C, b, d, e 2 (0,1), while k and l are positive integers.
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xn+1 = Axn + Bxn-k, n = 0,1,...,. (1.4) where the real valued constants A,B > 0. Let K be any real number. Then (1.4) has the generalized identity xn+1 ...
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JOURNAL OF mathematicAL ANALYSIS and applicATIONS 188, 719–731 (1994). -. The Asymptotic Stability of Xn+1 axn + bxn-k. *********. SPIRIDON A. KURUKLIS*.
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On the Difference equation xn+1=axn−bxn/(cxn−dxn−1). Author(s): E. M. Elabbasy , H. El-Metwally , E. M. Elsayed. Publication date Created: 2006.
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In this paper, we study qualitative properties and periodic nature of the solutions of the difference equation xn+1 = axn−4 + bxn−4 cxn−4 + dxn−9 ...
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23 thg 11, 2020 · xn+1 = βxn + γxnLk. A + Bxn + CxnLk where the parameters β, γ, A, ... [5] S.A. Kuruklis, The asymptotic stability of xn+1 axn + bxn k = 0, ...
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30 thg 6, 2021 · xn+1 = axn-1 + bxn-1 cxn-1 -dxn-3. , n = 0,1,..., where a,b,c,d are positive real numbers and the initial conditions x-3,x-2,x-1,x0 are ...
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vić gave a theoretical explanation for the solvability of the following nonlinear difference equation: xn+1 = xn–1 a + bxn–1xn. , n ∈ N0,. (1).
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