Oscillation of second-order Emden-Fowler neutral delay differential equations
Files
Date
2018-09-04
Authors
Wu, Yingzhu
Yu, Yuanhong
Xiao, Jinsen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we establish new oscillation criteria for the second-order Emden-Fowler neutral delay differential equation
(r(t)|z′(t)|α-1 z′(t))′ + q(t)|x(σ(t))|β-1x(σ(t)) = 0,
where z(t) = x(t) + p(t)x(τ(t)), α > 0 and β > 0. Our results improve some well-known results which were published recently in the literature. Some illustrative examples are also provided to show the significance of our results.
Description
Keywords
Emden-Fowler equation, Half-linear differential equation, Riccati method, Oscillation criterion
Citation
Wu, Y., Yu, Y., & Xiao, J. (2018). Oscillation of second-order Emden-Fowler neutral delay differential equations. <i>Electronic Journal of Differential Equations, 2018</i>(159), pp. 1-15.
Rights
Attribution 4.0 International