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On the Asymptotics of Solutions of the Second-Order Differential Equations with Rapidly Varying Nonlinearities

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Ukrainian Mathematical Journal Aims and scope

We establish new results concerning the conditions of existence of one class of monotonic solutions of a two-term nonautonomous differential equation of the second order with rapidly varying nonlinearity. These results essentially supplement the results of previous investigations.

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References

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Authors and Affiliations

  1. I. Mechnikov Odessa National University, Odessa, Ukraine

    V. M. Evtukhov & A. G. Chernikova

Authors
  1. V. M. Evtukhov
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  2. A. G. Chernikova
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Corresponding author

Correspondence to A. G. Chernikova.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 4, pp. 488–505, April, 2021. Ukrainian DOI: 10.37863/umzh.v73i4.627.

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Evtukhov, V.M., Chernikova, A.G. On the Asymptotics of Solutions of the Second-Order Differential Equations with Rapidly Varying Nonlinearities. Ukr Math J 73, 572–591 (2021). https://doi.org/10.1007/s11253-021-01944-9

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  • DOI: https://doi.org/10.1007/s11253-021-01944-9

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