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Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 717–723 | Cite as

Oscillation Criterion for Autonomous Differential Equations with Bounded Aftereffect

  • V. V. Malygina
Article
  • 13 Downloads

Abstract

For autonomous functional-differential equations with delays, we obtain an oscillation criterion, which allows one to reduce the oscillation problem to the calculation of a unique root of a real-valued function determined by the coefficients of the original equation. The criterion is illustrated by examples of equations with concentrated and distributed aftereffect, for which convenient oscillation tests are obtained.

Keywords and phrases

differential equation with aftereffect oscillation concentrated and distributed delay 

AMS Subject Classification

34K06 34K11 

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References

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Perm National Research Polytechnic UniversityPermRussia

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