Some new oscillation criteria for second-order hybrid differential equations

Year 2020, Volume: 49 Issue: 4, 1334 - 1345, 06.08.2020

G. E. Chatzarakis M. Deepa N. Nagajothi V Sadhasivam

https://doi.org/10.15672/hujms.541773

Abstract

In this paper, we consider the second order hybrid differential equations. For this class of equations, we establish a new criterion to check whether all solutions of an equation, in this class, oscillate. We prove this criterion, using a generalized Riccati technique and an averaging method. The established oscillatory criteria have a distinct form, from all other relevant criteria, in the literature. We illustrate the validity of our results by means of various examples.

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Keywords

Oscillation, Hybrid Differential Equation, Riccati technique

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