On Oscillatory and Asymptotic Behavior of Higher Order Neutral Differential Equations with Impulsive Conditions

被引：0
作者：
Raheem A. [1 ]
Afreen A. [1 ]
Khatoon A. [1 ]
机构：
[1] Department of Mathematics, Aligarh Muslim University, Aligarh
来源：
International Journal of Applied and Computational Mathematics | 2021年 / 7卷 / 4期
关键词：
Asymptotic behavior; Higher order; Impulsive conditions; Neutral differential equations; Oscillation criteria;
D O I：
10.1007/s40819-021-01092-5
中图分类号：
学科分类号：
摘要：
In the present article, we considered a class of nth order impulsive neutral differential equations. The study on the oscillatory and asymptotic behavior of solutions for the higher-order neutral differential equation is theoretical and practical. Various techniques appeared for these studies. We reduced this class into a class of non-impulsive neutral differential equations by using suitable substitutions. Through a comparison strategy involving first-order differential equations, we studied the oscillatory and asymptotic behavior of solutions. Sufficient conditions are obtained for asymptotic as well as oscillatory bounded solutions. Several examples have illustrated the effectiveness of the requirements. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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