2017
Том 69
№ 9

All Issues

On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor

Akymenko A. M., Yakovets V. P.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 10, pp 1698-1714.

Citation Example: Akymenko A. M., Yakovets V. P. On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor // Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1403-1415.

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