Solvability of a system of nonlinear difference equations of higher order

DOI10.3906/mat-1902-24zbMath1417.39007OpenAlexW2947547651WikidataQ127760427 ScholiaQ127760427MaRDI QIDQ5229861

Merve Kara, Yasin Yazlik

Publication date: 19 August 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/45655/575365

zbMATH Keywords

asymptotic behaviorsystem of nonlinear difference equationssolution in closed form

Mathematics Subject Classification ID

Additive difference equations (39A10) Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23)

Related Items (20)

On the solutions of a system of max-type difference equations ⋮ Solvability of a \((k+l)\)-order nonlinear difference equation ⋮ General solutions to systems of difference equations and some of their representations ⋮ On a solvable system of \(p\) difference equations of higher order ⋮ On a solvable system of rational difference equations of higher order ⋮ On a solvable system of difference equations in terms of generalized Fibonacci numbers ⋮ Note on a rational system of \((4k+4)\)-order difference equations: periodic solution and convergence ⋮ Higher-order system of p-nonlinear difference equations solvable in closed-form with variable coefficients ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Periodic solutions of a system of nonlinear difference equations with periodic coefficients ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamical behavior of a \(p\)-dimensional system of nonlinear difference equations ⋮ Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients ⋮ Global behavior of \(p\)-dimensional difference equations system ⋮ A detailed study on a solvable system related to the linear fractional difference equation

Cites Work

• On fourteen solvable systems of difference equations
• Qualitative study of solutions of some difference equations
• Global stability of a third-order nonlinear system of difference equations with period-two coefficients
• On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
• Oscillation of nonlinear difference equations with several coefficients
• On the solutions of two special types of Riccati difference equation via Fibonacci numbers
• On the solutions of some nonlinear systems of difference equations
• Dynamical behavior of a system of three-dimensional nonlinear difference equations
• On a close to symmetric system of difference equations of second order
• Well-defined solutions of a system of difference equations
• On some solvable difference equations and systems of difference equations
• On a solvable rational system of difference equations
• Solution for systems of difference equations of rational form of order two
• On the solutions of a max-type difference equation system
• THE EXPRESSIONS OF SOLUTIONS AND THE PERIODICITY OF SOME RATIONAL DIFFERENCE EQUATIONS SYSTEMS
• Global behaviour of the rational Riccati difference equation of order two: the general case
• The Dynamics and Solution of some Difference Equations
• On Two Nonlinear Difference Equations
• On a class of solvable higher-order difference equations
• Expression and behavior of the solutions of some rational recursive sequences
• Dynamic behavior of a second-order nonlinearrational difference equation
• On a solvable nonlinear difference equation of higher order
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Solvability of a system of nonlinear difference equations of higher order