On some properties of polynomial functions
On some specific nonlinear ordinary difference equations
On spectral theory for singular S-hermetian difference systems.
On stability zones for discrete-time periodic linear Hamiltonian systems.
On the algebraic difference equations in , related to a family of elliptic quartics in the plane.
On the appearance of primes in linear recursive sequences.
On the asymptotic behavior of a difference equation with maximum.
On the asymptotic behavior of solutions of linear difference equations.
In the paper sufficient conditions for the difference equation :Δxn = Σi=0r an(i) xn+ito have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.
On the asymptotic behaviour of solutions of difference equations
On the asymptotic behaviour of the solutions of an n-th order difference equation
On the asymptotic integration of nonlinear dynamic equations.
On the asymptotically periodic solution of some linear difference equations
For the linear difference equation sufficient conditions for the existence of an asymptotically periodic solutions are given.
On the asymptotics of mean value points for some finite-difference operators.
On the behavior of solutions of the system of rational difference equations: , , and .
On the behavior of the solutions to autonomous linear difference equations with continuous variable
Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.
On the behaviour of the solutions of a -order cyclic-type system of max difference equations
We investigate the behaviour of the solutions of a -dimensional cyclic system of difference equations with maximum. More precisely, we study the existence and the number of the equilibria in the case when is an odd or an even positive integer, but also for the various values of the exponents of the terms of the difference equations of this system. In addition, we find invariant intervals for our system and we invistegate the convergence of the solutions to the unique positive equilibrium. Finally,...
On the behaviour of the solutions of a second-order difference equation.
On the critical values of parametric resonance in Meissner's equation by the method of difference equations.
On the difference equation
In this paper we investigate the global convergence result, boundedness and periodicity of solutions of the recursive sequence where the parameters and for are positive real numbers and the initial conditions are arbitrary positive numbers.
On the difference equation .