Concepedia

On the periodicity of some systems of nonlinear difference equations

Nouressadat Touafek, E. M. Elsayed

2012 · 55 citations · 17 references

Concepts

Nonlinear Difference EquationsRational FormDiscrete Dynamical SystemOscillation TheoryNonlinear EquationSecond OrderDifference SystemsPeriodic Travelling WaveBifurcation Theory

Abstract

In this paper we deal with the form of the solutions of some difference systems on a rational form of second order with nonzero real number initial conditions.

References

17

Solutions of rational difference systems of order two

E. M. Elsayed · Mathematical and Computer Modelling · 2011 · 125 citations

Oscillation Theory, Rational Difference Systems, Discrete Integrable System +1

On the solutions of systems of rational difference equations

Nouressadat Touafek, E. M. Elsayed · Mathematical and Computer Modelling · 2011 · 105 citations

Real Algebraic Geometry, Discrete Integrable System, Rational Difference Equations +1

Solution and Attractivity for a Rational Recursive Sequence

E. M. Elsayed · Discrete Dynamics in Nature and Society · 2011 · 94 citations · Full text

Positive Constants, Rational Recursive Sequence, Nonlinear Equation +4

On the positive solutions of the difference equation system ,

Applied Mathematics and Computation · 2003 · 73 citations

Oscillation Theory, Difference Equation System, Linear Equation

On the Global Asymptotic Stability of a Second‐Order System of Difference Equations

İbrahim Yalçınkaya · Discrete Dynamics in Nature and Society · 2008 · 66 citations · Full text

Second‐order System, Sufficient Condition, Difference Equations +4