Some new oscillation criteria for second-order hybrid differential equations

Authors : G E CHATZARAKİS, M DEEPA, N NAGAJOTHİ, V SADHASİVAM

Pages : 1334-1345

Doi:10.15672/hujms.541773

View : 20 | Download : 13

Publication Date : 2020-08-06

Article Type : Research Paper

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. *************************************************************************************
Keywords : Oscillation, Hybrid Differential Equation, Riccati technique