Abstract
We establish sufficient conditions for the existence and uniqueness of a periodic solution of a system of linear differential equations with a small parameter and a degenerate matrix of coefficients of derivatives in the case of a multiple spectrum of a boundary matrix pencil. We construct asymptotics of this solution.
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Yakovets', V.P., Akymenko, A.M. On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor. Ukrainian Mathematical Journal 54, 1698–1714 (2002). https://doi.org/10.1023/A:1023788421382
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DOI: https://doi.org/10.1023/A:1023788421382