Oscillatory Behavior of Semi-canonical Nonlinear Neutral Differential Equations of Third-Order Via Comparison Principles

被引：3
|
作者：
Thandapani, Ethiraju [1 ]
Gokturk, Batuhan [2 ]
Ozdemir, Orhan [3 ]
Tunc, Ercan [3 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
[2] Tokat Gaziosmanpasa Univ, Inst Grad Studies, TR-60240 Tokat, Turkiye
[3] Tokat Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60240 Tokat, Turkiye
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 01期
关键词：
Semi-canonical; Neutral; Comparison; Third-order; Oscillation; DYNAMIC EQUATIONS; THEOREMS;
D O I：
10.1007/s12346-022-00731-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are dealing here with the oscillatory behaviors of all solutions to a class of semicanonical third-order nonlinear functional differential equations involving both retarded and advanced type deviating arguments in the neutral term. Our main tool is to show that, under certain conditions, a semicanonical equation can be written as an equivalent equation in canonical form. The results presented in this paper are novel even when the studied equation is linear. We also provide several examples to demonstrate the applicability and versatility of our results.
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页数：17
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