On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor |
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Authors: | Yakovets' V. P. Akymenko A. M. |
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Affiliation: | (1) Nizhyn Pedagogic University, Nizhyn |
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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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