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

Details 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 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

2008-03-27

arxiv.org/abs/0803.3992v1

Mathematics

Classical Analysis and ODEs

22 pages

Scientific paper

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

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