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Journal of Mathematical Sciences

, Volume 243, Issue 3, pp 381–408 | Cite as

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

  • V. M. EvtukhovEmail author
  • N. P. Kolun
Article
  • 4 Downloads

We establish conditions for the existence of a class of monotone solutions of the second-order differential equations with regularly and rapidly varying nonlinearities and the asymptotic representations of these solutions as tω (ω ≤ + ∞).

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Mechnikov Odessa National UniversityOdessaUkraine
  2. 2.Military AcademyOdessaUkraine

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