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

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