Asymptotic and Oscillatory Behaviour of Third Order Non-linear Differential Equations with Canonical Operator and Mixed Neutral Terms

被引：19
作者：
Alzabut, J. [1 ,2 ]
Grace, S. R. [3 ]
Santra, S. S. [4 ,5 ]
Chhatria, G. N. [6 ]
机构：
[1] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[2] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye
[3] Cairo Univ, Fac Engn, Dept Engn Math, Orman 12221, Giza, Egypt
[4] JIS Coll Engn, Dept Math, Kalyani 741235, West Bengal, India
[5] Univ Petr & Energy Studies UPES, Dept Math, Appl Sci Cluster, Dehra Dun 248007, Uttaranchal, India
[6] Sambalpur Univ, Dept Math, Sambalpur 768019, India
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 01期
关键词：
Non-linear differential equations; Oscillation; Asymptotic behavior; Canonical operator; Mixed neutral terms; THEOREMS;
D O I：
10.1007/s12346-022-00715-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the asymptotic and oscillatory behaviour of third-order non-linear differential equations with mixed non-linear neutral terms and a canonical operator. The results are obtained via utilising integral conditions as well as comparison theorems with the oscillatory properties of first-order advanced and/or delay differential equations. The proposed theorems improve, extend, and simplify existing ones in the literature. The results are illustrated by two numerical examples.
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页数：17
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