Oscillation of higher order nonlinear dynamic equations with a nonlinear neutral term

被引：8

作者：

Grace, Said R. ^{[1
]}

Chhatria, Gokula N. ^{[2
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[2] Sambalpur Univ, Dept Math, Sambalpur 768019, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期

关键词：

asymptotic behaviour; comparison method; neutral dynamic equation; oscillation; DIFFERENTIAL-EQUATIONS; CRITERIA; BEHAVIOR; THEOREMS;

D O I：

10.1002/mma.8650

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study introduces the oscillation of higher order nonlinear dynamic equations with a nonlinear neutral term. The findings are obtained via utilising an integral criterion as well as a comparison theorem with the oscillatory properties of a first-order dynamic equation. We propose novel oscillation criteria that improve, extend and simplify existing ones in the literature. The results are associated with several numerical examples.

引用

页码：2373 / 2388

页数：16

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