Periodic solutions of a system of nonlinear difference equations with\n periodic coefficients

2020/03/17 by Durhasan Turgut Tollu, Tollu, Durhasan Turgut
Mathematics · Medicine · #39A10 #39A20 #39A23 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2003.07735

openalex publication_date 2020/03/17 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper it is dealt with the following system of difference equations\n x_n+1=((a_n)/(x_n))+((b_n)/(y_n)),\ny_n+1=((c_n)/(x_n))+((d_n)/(y_n)), n in N₀,\n where the initial values x₀,y₀ are positive real numbers and the\ncoefficients (a_n)_n>=0, (b_n)_n>=0, (c_n)_n>=0, (d_n)_n>=0 are\ntwo-periodic sequences with positive terms. The system is an extention of a\nsystem that every positive solution is two-periodic or converges to its a\ntwo-periodic solution. Here, the long-term behavior of posistive solutions of\nthe system is examined by using a new method to solve the system.\n

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