Stability problems for linear differential and difference systems
In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems.
Subexponential Solutions of Linear Volterra Difference Equations
We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Sur le calcul des probabilités relatives à l'évolution d'un système
The stability analysis of a discretized pantograph equation
The paper deals with a difference equation arising from the scalar pantograph equation via the backward Euler discretization. A case when the solution tends to zero but after reaching a certain index it loses this tendency is discussed. We analyse this problem and estimate the value of such an index. Furthermore, we show that the utilized proof technique enables us to investigate some other numerical formulae, too.
The stability cone for a matrix delay difference equation.
Volterra summation equations and second order difference equations
The asymptotic and oscillatory behavior of solutions of Volterra summation equation and second order linear difference equation are studied.