[PDF] Top 20 On the system of rational difference equations xn+1 = f(xn ,yn k), yn+1 = f(yn , xn k)
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On the system of rational difference equations xn+1 = f(xn ,yn k), yn+1 = f(yn , xn k)
... Recently there has been published quite a lot of works concerning the behavior of posi- tive solutions of systems of rational di ff erence equations [2–7]. These results are not only valuable in their own ... See full document
7
On the difference equation \(x {n+1}=ax {n l}+bx {n k}+f ( x {n l},x {n k} )\)
... Difference equations describe the observed evolution of a phenomenon at discrete time ...difference equations are used as discrete models of the workings of physical or artificial ...difference equations ... See full document
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On the system of rational difference equations xn+1 = f(yn q, xn s), yn+1 = g(xn t, yn p)
... In this paper, we study the convergence of positive solutions of a system of rational dif- ference equations. Recently there has been published quite a lot of works concerning the behavior of ... See full document
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Oscillation of nonlinear delay difference equations
... We obtain some oscillation criteria for solutions of the nonlinear delay differ αj ence equation of the form xn+1 − xn + pn m j=1 xn−k = 0.. 2000 Mathematics Subject Classification.[r] ... See full document
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Excitonic localization in AlN-rich AlxGa1-xN/AlyGa1-yN multi-quantum-well grain boundaries
... was grown. The quantum barriers (QBs) had a fixed nominal AlN molar fraction of 0.73, while the nominal molar frac- tions of AlN content in quantum wells (QWs) of the four samples (A, B, C, and D) varied from 35% to 65% ... See full document
6
Dynamics of difference equation \(x {n+1}=f( x {n l},x {n k})\)
... of multicylinder engines, acoustical filters, etc., is enormously facilitated. The standard techniques for solving such systems are generally very lengthy when the number of ele- ments involved is large. The use of ... See full document
14
Periodicity and Solution of Rational Recurrence Relation of Order Six
... tigating equations arising in mathematical models de- cribing real life situations in population biology, eco- nomic, probability theory, genetics, psychology, ......etc. Difference equations usually ... See full document
5
On the Behavior of Solutions of the System of Rational Difference Equations xn+1=xn 1/ynxn 1 1, yn+1=yn 1/xnyn 1 1, zn+1=xn/ynzn 1
... investigating equations arising in mathematical models describing real life situations in population biology, economic, probability theory, genetics, psychology ...Although difference equations are ... See full document
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On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn
... the system of two nonlinear difference equations x n+1 = A + x n−1 /y n and y n+1 = A+ y n−1 /x n , where A is a positive constant, and n = ...phrases. System of two ... See full document
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On the behavior of solutions of the system of rational difference equations xn+1=xn 1ynxn 1 1,yn+1=yn 1xnyn 1 1,zn+1=1ynzn
... RESEARCH Open Access On the behavior of solutions of the system of rational difference equations xn+1 = xn?1 ynxn?1 ? 1 , yn+1 = yn?1 xnyn?1 ? 1 , zn+1 = 1 ynzn Abdullah Sel?uk Kurbanli Correspondence[.] ... See full document
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On the Behavior of Positive Solutions of a Difference Equations System xn+1={yn 2+yn 3}/xn, yn+1={xn 2+xn 3}/yn
... 199 as following: Open problem 11.4.8: Determine whether every positive solutions of the following equation converges to a periodic solution of the corresponding equation: xn 1 .. Moti[r] ... See full document
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On the Solutions of Difference Equation Systems with Padovan Numbers
... Nonlinear difference equations have long interested re- searchers in the field of mathematics as well as in other ...nonlinear difference equations from several authors ...Riccati ... See full document
6
Dynamics for Nonlinear Difference Equation
... > 1 and set 1x p y. Then the function, fy y p2 − y p1 yr p −r p2 , y > 1, has at least two distinct positive ...However, f y y p p 2y − p 1 r p > 0 for any y ∈ 1, ∞, which ... See full document
13
Zombies: a simple discrete model of the apocalypse
... We see that at α ≈ 2.77 the largest Lyapunov exponent becomes zero, corre- sponding to the attractor bifurcating from the fixed point to a quasiperiodic orbit around the point. Periodic windows are observed as we cut ... See full document
18
Global Asymptotic Behavior of
... of rational difference equations of order greater than one is quite challeng- ing and rewarding and the results about these equations serve as prototypes in the de- velopment of the basic theory of ... See full document
22
Speech Compression for Better Audibility using Wavelet Transformation with Adaptive Kalman Filtering
... Signal compression is achieved by first truncating small valued coefficients and then efficiently encoding them. One way of representing the high-magnitude coefficients is to store the coefficients along with their ... See full document
5
Unbounded solutions of the max-type difference equation xn+1 = max {An/xn, Bn/xn-2},n = 0,1,2,...
... We show that every positive solution of Eq.(1) is unbounded provided that either (8), (9), or (10) hold true. We first establish some useful lemmas. In particular, the next four lemmas will show that every ... See full document
49
An Examination of Equilibria in the Multi-Site Iterated Prisoner's Dilemma
... that f is ...that f (a ∗ , γ) < 0, hence the first root must be below the line c = ...that f is again negative on the line a + c = 2λ, which is the upper boundary of the ...(λ, 1] and a ∗ ... See full document
74
Non Stationary Signal Segmentation and Separation from Joint Time Frequency Plane
... 1) For constructing the Spectrogram or STFT, a prober window type with optimal length has to occur first in order to get the desirable level of time and frequency resolution. Furthermore, a high resolution of the ... See full document
5
Approximating fixed points of λ firmly nonexpansive mappings in Banach spaces
... [7] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591–597. MR 35#2183. Zbl 179.19902. [8] J. Schu, Weak and strong convergence to ... See full document
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