On the asymptotic of solutions of the second-order differential equations with rapidly varying nonlinearities

  • V. M. Evtukhov Odessa National University named after I. I. Mechnikov
  • A. G. Chernikova Odessa National University named after I. I. Mechnikov
Keywords: .

Abstract

UDC 517.925

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

 

References

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Published
21.04.2021
How to Cite
Evtukhov , V. M., and A. G. Chernikova. “On the Asymptotic of Solutions of the Second-Order Differential Equations With Rapidly Varying Nonlinearities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 4, Apr. 2021, pp. 488 -05, doi:10.37863/umzh.v73i4.627.
Section
Research articles