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A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on th...
We consider a stationary solution of the Poisson equation (λ − Lω)φλ(x; ω) = −∂∗b(x; ω), where λ > 0 and is a random, discrete, elliptic operator given by Lωu(x) := ∂&...
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}}.
The asymptotic behavior (such as convergence to an equilibrium, convergence to a 2-cycle, and divergence to infinity) of solutions of the following multi-parameter, rational, second order difference e...
In this part we study the dynamics of the following rational multi-parameter first order difference equation x_{n+1} =(ax_{n}^3+ bx_{n}^2+cx_{n} + d)/x_{n}^3, x_{0}\in R^{+} where the parameters a, b...
In Archimedean space (X;Á) we study oscillation of all solutions of the second-order difference equation with a nonlinear damped term of the form a(k)D2y(k)+b(k)Dy(k)+c(k)y(k)+ f (k;y(k);y(k&...
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 ...
Stability criteria are established for partial difference equations with nonlinear pertubations.

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