Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 790–793 | Cite as

Exact Conditions of Oscillation of Solutions to Differential Equations with Several Delays

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Abstract

We obtain new nonimprovable conditions of oscillation of all solutions to a linear differential equation with several variable delays and positive coefficients. These conditions have the form of the upper and lower limits of the sum of integrals of the coefficients over the sets that are determined only by the delay corresponding to this coefficient. These results differ from the well-known results in which a coarsening of the integration set is assumed.

Keywords and phrases

differential equation with several delays oscillation effective condition 

AMS Subject Classification

34K06 34K11 

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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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