Oscillation criteria of second-order Emden-Fowler nonlinear variable delay differential equations
YANG Jiashan1,2
1. School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China;
2. Laboratory of Complex Systems Simulation and Intelligent Computing, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China
Abstract：The purpose of this article is to study the oscillatory behavior of second-order Emden-Fowler nonlinear neutral functional differential equations with variable delay. By using the Riccati transformation, integral averaging technique and differential inequalities, we established a new oscillation criteria and a comparison theorem for the oscillation of the equations. These criteria dealing with some cases have not been covered by the existing results in the literature.
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2017, Vol. 44 
