A new class of solvable nonlinear difference equation systems

2021/10/29 by Durhasan Turgut Tollu, Tollu, Durhasan Turgut
Mathematics · Medicine · #39A05 #39A10 #39A20 #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2110.15619

openalex publication_date 2021/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper deals with the following system of nonlinear difference equations x_n+1=ax_n²y_n+bx_ny_n², y_n+1=cx_n²y_n+dx_ny_n², n∈ ℕ₀, where the initial values x₀,y₀ and the parameters a, b, c, d are arbitrary real numbers, which is a new class of solvable systems of nonlinear difference equations. The general solution of the system is here obtained in closed form via a practical method.

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