Title: Oscillation of one kind of second order neutral delay differential equations
Authors: Hui Li; Yige Zhao; Shurong Sun
Addresses: School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China
Abstract: This paper is dedicated to discussing the oscillation of the second order neutral delay differential equations (r(t)(z´(t))α)´ + q(t)f(xβ(σ(t))) = 0, where z(t) = x(t) + p(t)x(τ(t)). Sufficient conditions are provided by Riccati transformation comparing with related first order differential inequalities and differential equations. Results obtained in this paper have extended and improved conclusions contained in other literatures. Several illustrative examples are presented.
Keywords: oscillation; neutral; delay; differential equation.
DOI: 10.1504/IJDSDE.2020.107807
International Journal of Dynamical Systems and Differential Equations, 2020 Vol.10 No.3, pp.221 - 232
Received: 30 Mar 2018
Accepted: 23 Oct 2018
Published online: 22 Jun 2020 *