Global behavior of a three-dimensional system of difference equations of order three

DOI10.31801/cfsuasmas.443530zbMath1490.39014OpenAlexW2884629268MaRDI QIDQ5078703

İbrahim Yalçinkaya, Durhasan Turgut Tollu

Publication date: 23 May 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.443530

zbMATH Keywords

stabilityperiodic solutionsystem of difference equationsglobal behavior

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23)

Related Items (13)

General solutions to systems of difference equations and some of their representations ⋮ ON THE SYSTEMS OF RATIONAL DIFFERENCE EQUATIONS ⋮ On a solvable system of difference equations of higher-order with period two coefficients ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}\) ⋮ Unnamed Item ⋮ Qualitative behavior and solution of a system of three‐dimensional rational difference equations ⋮ On a system of \(k\)-difference equations of order three ⋮ Unnamed Item ⋮ QUALITATIVE ANALYSIS OF A FOURTH ORDER DIFFERENCE EQUATION ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\) ⋮ Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients ⋮ On a general homogeneous three-dimensional system of difference equations ⋮ On the behavior of the solutions of an abstract system of difference equations

Cites Work

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• On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
• The periodicity and solutions of the rational difference equation with periodic coefficients
• The dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma x_{n-2}^p}\)
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• On the solutions of two special types of Riccati difference equation via Fibonacci numbers
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