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Algebraic-Differential Systems with Large and Rapidly Oscillating Coefficients. Asymptotics of Solutions

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We construct and justify asymptotics of linearly independent system of solutions to an algebraic-differential system with large rapidly oscillating coefficients.

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References

  1. N. I. Shkil’, I. I. Starun, and V. P. Yakovets, Asymptotic Integration of Linear Systems of Ordinary Differential Equations [in Russian], Vyshcha Shkola, Kiev (1989).

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Authors and Affiliations

  1. Southern Federal University, 105/42 Sadovaya St, Rostov-on-Don, 344006, Russia

    V. B. Levenshtam & S. P. Prika

  2. Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS and the Government of the Republic Northern Ossetia-Alania, 22, Markusa St, Vladikavkaz, 362027, Russia

    V. B. Levenshtam

Authors
  1. V. B. Levenshtam
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  2. S. P. Prika
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Corresponding author

Correspondence to V. B. Levenshtam.

Additional information

Dedicated to the memory of Vasilii Vasil’evich Zhikov

Translated from Problemy Matematicheskogo Analiza 93, 2018, pp. 23-29.

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Levenshtam, V.B., Prika, S.P. Algebraic-Differential Systems with Large and Rapidly Oscillating Coefficients. Asymptotics of Solutions. J Math Sci 232, 428–436 (2018). https://doi.org/10.1007/s10958-018-3881-2

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  • DOI: https://doi.org/10.1007/s10958-018-3881-2

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