On the Asymptotic Expansions for Time-Varying Scalar Differential Equations Possesssing Limiting Differential Equations by Application of the Residue Theorem to their Discretized Counterparts. Preliminary Results

Abstract

In this paper, it is proved that, in a dual context, asymptotic expansions of ordinary linear time-differential equations which possess limiting equations to their limiting equations might be obtained by first discretizing them and then using residues calculation for such discrete- time counterparts