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Asymptotic solution of the cauchy problem for a singularly perturbed linear system

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Abstract

We construct the asymptotics of the solution of the Cauchy problem for a degenerate singularly perturbed linear system in the case of multiple spectrum of the principal operator.

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References

  1. N. I. Shkil’, I. I. Starun and V. P. Yakovets,Asymptotic Integration of Linear Systems of Differential Equations with Degeneracies [in Russian], Vyshcha Shkola, Kiev (1991).

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  2. V. P. Yakovets, “Some properties of degenerate linear systems,”Ukr. Mat. Zh.,49, No. 9, 1278–1296 (1997).

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Authors
  1. O. I. Kocherga
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Additional information

Nezhin Pedagogic University, Nezhin. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 8, pp. 1126–1128, August, 1999,

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Kocherga, O.I. Asymptotic solution of the cauchy problem for a singularly perturbed linear system. Ukr Math J 51, 1271–1274 (1999). https://doi.org/10.1007/BF02592516

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  • DOI: https://doi.org/10.1007/BF02592516

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