It is often noticed in the literature that some key results on stability of discrete-time systems difference equations are obtained from their corresponding continuous-time differential using suitable conformal mappings or bilinear transformations. Such observations lead to search for a unified approach study root distribution real and complex polynomials, with respect left-half plane (Routh–Hu...

This paper deals with the asymptotic stability of exact and discrete solutions of neutral multidelay-integro-differential equations. First, sufficient conditions are derived that guarantee the asymptotic stability of the continuous solutions. Then, adaptations of classical Runge-Kutta and linear multistep methods are suggested for solving these systems. Stability criteria are constructed for th...