We present results on the approximation of the characteristic values of a delay diierential equation through the calculation of characteristic values of a corresponding discrete scheme constructed through the use of a strongly stable linear multistep method. Our tool in the analysis is the boundary locus method and we give a theorem that guarantees that the roots of the characteristic equation ...

In this paper, we study the stability of n-dimensional linear fractional neutral differential equation with time delays. By using the Laplace transform, we introduce a characteristic equation for the above system with multiple time delays. We discover that if all roots of the characteristic equation have negative parts, then the equilibrium of the above linear system with fractional order is Ly...

We consider a nonhomogeneous linear delay difference equation with continuous variable and establish an asymptotic result for the solutions. Our result is obtained by the use of a positive root with an appropriate property of the so-called characteristic equation of the corresponding homogeneous linear (autonomous) delay difference equation. More precisely, we show that, for any solution, the l...