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Global asymptotic stability of a higher order difference equation
difference equation periodic solution
2010/9/21
The aim of this work is to investigate the global stability, periodic nature, oscillation and boundedness of the positive solutions of the difference equation
On the positive solutions of the difference equation system x_{n+1}=\frac{1}{y_{n-k}}, y_{n+1}=\frac{x_{n-k}}{y_{n-k}}
Difference equation system Positive solution Periodicity
2010/9/21
On the positive solutions of the difference equation system x_{n+1}=\frac{1}{y_{n-k}}, y_{n+1}=\frac{x_{n-k}}{y_{n-k}}.
The Bifurcation of Cycle Length and Global Asymptotic Stability in a Rational Difference Equation with Higher Order
Rational difference equation bifurcation of cycle length perturbation global asymptotic stability semicycle periodicity
2008/11/10
A new bifurcation case for the cycle length is found in this paper for rational difference equations, which is
shown out from the following fifth order rational difference equation
x x x x x x a
x ...
Triple Solutions for a Higher-order Difference Equation
Discrete three-point boundary value problem Multiple solutions Green's function Cone Fixed point
2008/6/26
Triple Solutions for a Higher-order Difference Equation.
EXPONENTIAL STABILITY OF A PARTIAL DIFFERENCE EQUATION WITH NONLINEAR PERTURBATION
Partial difference equation s
2007/12/10
Stability criteria are established for partial difference equations with nonlinear pertubations.