This article is cited in 1 paper

On the conditions for oscillation of the solutions to differential equations with aftereffect and generalization of the koplatadze–chanturiya theorem

K. M. Chudinov

Perm State National Research Polytechnical University

Abstract: We consider a nonautonomous first-order linear differential equation with several delays and nonnegative coefficients. Some new sufficient conditions for the oscillation of all solutions are obtained in the form of an estimate for the lower limit of the sum of integrals of the coefficients. For the equation with one delay, the obtained oscillation conditions sharpen the classical Koplatadze–Chanturiya Theorem. The difference in strength between the new and available oscillation conditions is more significant for the equation with several delays.

Keywords: differential equation with several delays, oscillation, effective condition.

UDC: 517.929

MSC: 35R30

Received: 03.03.2019
Revised: 17.10.2019
Accepted: 18.10.2019

DOI: 10.33048/smzh.2020.61.115

 English version: Siberian Mathematical Journal, 2020, 61:1, 178–186

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