Global stability of a third-order nonlinear system of difference equations with period-two coefficients

DOI10.1007/s13398-016-0297-zzbMath1370.39007OpenAlexW2335107281MaRDI QIDQ523108

Yasin Yazlik, Nouressadat Touafek, Imane Dekkar

Publication date: 20 April 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0297-z

zbMATH Keywords

stabilityoscillationboundednessequilibriumrational difference equation

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) Stability theory for difference equations (39A30) Oscillation theory for difference equations (39A21)

Related Items (20)

Solvability of a \((k+l)\)-order nonlinear difference equation ⋮ ON THE SYSTEMS OF RATIONAL DIFFERENCE EQUATIONS ⋮ On a solvable system of difference equations of higher-order with period two coefficients ⋮ On a solvable system of rational difference equations of higher order ⋮ On a solvable system of difference equations in terms of generalized Fibonacci numbers ⋮ Investigation of the global dynamics of two exponential-form difference equations systems ⋮ Unnamed Item ⋮ Solvability of a system of higher order nonlinear difference equations ⋮ On a solvable nonlinear difference equation of higher order ⋮ Unnamed Item ⋮ On a general system of difference equations defined by homogeneous functions ⋮ Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients ⋮ On a general homogeneous three-dimensional system of difference equations ⋮ Global behavior of \(p\)-dimensional difference equations system ⋮ Solvability of a system of nonlinear difference equations of higher order ⋮ Unnamed Item ⋮ On the global dynamics of a rational difference equation with periodic coefficients ⋮ On the behavior of the solutions of an abstract system of difference equations ⋮ On a three dimensional nonautonomous system of difference equations ⋮ On a solvable three-dimensional system of difference equations

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