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Example 1. Figure 1, shows that Eq.(1) has no prime period two solutions if k = 2, 1 = 4, o = 6, x_6 1, x-5 = 2, x_4 = 3, x_3 = 4, x_2 = 5, x-1 = 6, x0 = 7, A |3| || || %3D 300, В — 200, С%3D 100, D %3D 75, b %3D 50, 30, е %3 d || || = 20. plot of y(-=(A*y(n)+B*y(n-2)+C*y(n-4)+D*y(n-6))+((b*y(n-2))/(d*y(n-2)-e*y(n-4))) 14.0005 7.0003 50 100 150 200 n-iteration solution of y(n+1)

Example 1. Figure 1, shows that Eq.(1) has no prime period two solutions if k = 2, 1 = 4, o = 6, x_6 1, x-5 = 2, x_4 = 3, x_3 = 4, x_2 = 5, x-1 = 6, x0 = 7, A |3| || || %3D 300, В — 200, С%3D 100, D %3D 75, b %3D 50, 30, е %3 d || || = 20. plot of y(-=(A*y(n)+B*y(n-2)+C*y(n-4)+D*y(n-6))+((b*y(n-2))/(d*y(n-2)-e*y(n-4))) 14.0005 7.0003 50 100 150 200 n-iteration solution of y(n+1)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Example 1. Figure 1, shows that Eq.(1) has no prime period two solutions if k = 2, 1= 4, o = 6, x_6 = 1, х-5 3D 2, х-4 3D 3, х-з 3 4, х-2 3D 5, х-1 — 6, хо — 7, A = 300, B = 200, C= 100, D= 75, b = 50, d = 30, е — 20. plot of y(=(A*y(n)+B*y(n-2)+C*y(n-4)+D*y(n-6))+((b'y(n-2))(d*y(n-2)-e*y(n-4))) 14.0005 7.0003 50 100 n-iteration 150 200 The objective of this article is to investigate some qualitative behavior of the solutions of the nonlinear difference equation bxn-k [dxn-k- exn-1) Xn+1 Axn+ Bxn-k+ CXp-1+DXp-o + n= 0,1,2,.. (1) where the coefficients A, B, C, D, b, d, e e (0,0), while k, 1 and o are positive integers. The initial conditions X-o,..., X_1,..., X_k, ..., X_1, X0 are arbitrary positive real numbers such that k <1< o. Note that the special cases of Eq. (1) have been studied in [1] when B=C = D=0, and k = 0,1= 1, b is replaced by B= C= D=0, and k = 0, b is replaced by – b and in [33] when B A=C= D=0, 1=0, b is replaced by – b. %3D – b and in [27] when = C = D = 0, 1 0 and in [32] when solution of y(n+1)
Transcribed Image Text:Example 1. Figure 1, shows that Eq.(1) has no prime period two solutions if k = 2, 1= 4, o = 6, x_6 = 1, х-5 3D 2, х-4 3D 3, х-з 3 4, х-2 3D 5, х-1 — 6, хо — 7, A = 300, B = 200, C= 100, D= 75, b = 50, d = 30, е — 20. plot of y(=(A*y(n)+B*y(n-2)+C*y(n-4)+D*y(n-6))+((b'y(n-2))(d*y(n-2)-e*y(n-4))) 14.0005 7.0003 50 100 n-iteration 150 200 The objective of this article is to investigate some qualitative behavior of the solutions of the nonlinear difference equation bxn-k [dxn-k- exn-1) Xn+1 Axn+ Bxn-k+ CXp-1+DXp-o + n= 0,1,2,.. (1) where the coefficients A, B, C, D, b, d, e e (0,0), while k, 1 and o are positive integers. The initial conditions X-o,..., X_1,..., X_k, ..., X_1, X0 are arbitrary positive real numbers such that k <1< o. Note that the special cases of Eq. (1) have been studied in [1] when B=C = D=0, and k = 0,1= 1, b is replaced by B= C= D=0, and k = 0, b is replaced by – b and in [33] when B A=C= D=0, 1=0, b is replaced by – b. %3D – b and in [27] when = C = D = 0, 1 0 and in [32] when solution of y(n+1)
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