On the recursive sequence .
On the separation of difference equations.
On the solution of linear inhomogeneous matrix difference equations of order n with variable coefficients
On the solutions of systems of difference equations.
On the solutions of the system of difference equations , .
On the solvability of initial-value problems for nonlinear implicit difference equations.
On the spectrum of a discrete non-Hermitian quantum system.
On the stability of solutions of certain systems of differential equations with piecewise constant argument
We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.
On the system of rational difference equations , .
On the system of rational difference equations , .
On the system of two nonlinear difference equations .
On the uniqueness of periodic decomposition
Let be arbitrary nonzero real numbers. An -decomposition of a function f:ℝ → ℝ is a sum where is an -periodic function. Such a decomposition is not unique because there are several solutions of the equation with -periodic. We will give solutions of this equation with a certain simple structure (trivial solutions) and study whether there exist other solutions or not. If not, we say that the -decomposition is essentially unique. We characterize those periods for which essential uniqueness...
On the weak robustness of fuzzy matrices
A matrix in -algebra (fuzzy matrix) is called weakly robust if is an eigenvector of only if is an eigenvector of . The weak robustness of fuzzy matrices are studied and its properties are proved. A characterization of the weak robustness of fuzzy matrices is presented and an algorithm for checking the weak robustness is described.
On the weight matrices of linear difference equations
On the µ-observability of some non-linear difference equations
On the -stability of impulsive dynamic system on time scales.
On two systems of difference equations.
On unstable neutral difference equations with ``maxima''
On well-posedness of the nonlocal boundary value problem for parabolic difference equations.
One case of appearance of positive solutions of delayed discrete equations
When mathematical models describing various processes are analysed, the fact of existence of a positive solution is often among the basic features. In this paper, a general delayed discrete equation is considered. Sufficient conditions concerning are formulated in order to guarantee the existence of a positive solution for . An upper estimate for it is given as well. The appearance of the positive solution takes its origin in the nature of the equation considered since the results hold only...