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Analysis and optimization of the J-T valve control logic for offshore oil and gas field low-temperature separators based on K-Spice. [PDF]

Sci Rep
Liu Y, Lin F, Zhu G, Yao Z.
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On the system of rational difference equations

AIP Conference Proceedings, 2018
In this paper, we investigate solutions of the system of difference equations xn+1=xn−1ynxn−1, yn+1=yn−1xnyn−1−1, zn+1=xnynzn−1, where x0,x−1,y0,y−1,z0,z−1 real numbers such that y0 x−1 ≠1 and x0y−1 ≠ 1In this paper, we investigate solutions of the system of difference equations xn+1=xn−1ynxn−1, yn+1=yn−1xnyn−1−1, zn+1=xnynzn−1, where x0,x−1,y0,y−1 ...
A. S. Kurbanli
semanticscholar   +2 more sources

On the system of rational difference equations

AIP Conference Proceedings, 2016
In this paper, we study the following system of rational difference equations for n ∈ ℕ0 {xn+1=αyn−2β+ρyn−2xn−1yn,yn+1=δxn−2ζ+ηxn−2yn−1xnzn+1=θzn−2λ+μyn−2xn−1yn,, where the parameters α, β, ρ, δ, ζ, η, θ, λ, µ and initial values x−i, y−i, z−i, i ∈ {0, 1, 2} are reel numbers.
Allaguly Gurbanlyyev
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Qualitative behavior and solution of a system of three‐dimensional rational difference equations

Mathematical methods in the applied sciences, 2022
In this paper, we construct the solutions expressions for a system of three‐dimensional nonlinear difference equations Rn+1=a1Tn−1Sn−1Rn−1+Sn−1+Tn−1,Sn+1=a2Tn−1Rn−1Rn−1+Sn−1+Tn−1,Tn+1=a3Rn−1Sn−1Rn−1+Sn−1+Tn−1. In addition, we prove some properties of the
E. Elsayed, A. Alshareef, F. Alzahrani
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Dynamics of a three‐dimensional systems of rational difference equations

Mathematical Methods in the Applied Sciences, 2016
E. Elsayed, A. M. Ahmed
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Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures

, 2001
E. Camouzis, G. Ladas
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On two rational difference equations

Applied Mathematics and Computation, 2006
For the difference equations \(x_{n+1}=(x_n+x_{n-1}x_{n-2}+ a)/(x_nx_{n-1}+x_{n-2}+a)\) and \(x_{n+1}=(x_nx_{n-1}+x_{n-2}+ a)/(x_{n-1}+x_nx_{n-2}+a)\) with \(a\geq0\) the oscillatory properties of positive solutions and the global asymptotic stability of the equilibrium 1 are studied.
Yang, Xiaofan, Evans, David J., Megson, Graham M.   +2 more
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Global behavior of two third order rational difference equations with quadratic terms

Mathematica Slovaca, 2019
In this paper, we determine the forbidden sets, introduce an explicit formula for the solutions and discuss the global behaviors of solutions of the difference equations xn+1=axnxn−1bxn−1+cxn−2,n=0,1,… $$\begin{array}{} \displaystyle x_{n+1}=\frac{ax_{n ...
R. Abo-zeid
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PERIODICITY AND SOLUTIONS OF SOME RATIONAL DIFFERENCE EQUATIONS SYSTEMS

The Journal of Applied Analysis and Computation, 2019
In this paper we are interested in a technique for solving some nonlinear rational systems of difference equations of third order, in three-dimensional case. Moreover, we study the periodicity of solutions for such systems.
E. Elsayed, F. Alzahrani
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