An improved approach for studying oscillation of second-order neutral delay differential equations

被引：0
作者：
Said R. Grace
Jozef Džurina
Irena Jadlovská
Tongxing Li
机构：
[1] Cairo University,Department of Engineering Mathematics, Faculty of Engineering
[2] Technical University of Košice,Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics
[3] Linyi University,School of Information Science and Engineering
[4] Shandong University,School of Control Science and Engineering
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Neutral differential equation; Delayed argument; Second-order; Riccati substitution; Oscillation; 34C10; 34K11;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including those for non-neutral differential equations. The adopted approach refines the classical Riccati transformation technique by taking into account such part of the overall impact of the delay that has been neglected in the earlier results. The effectiveness of the obtained criteria is illustrated via examples.
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