New Conditions for the Oscillation of Second-Order Differential Equations with Sublinear Neutral Terms

被引：21

作者：

Santra, Shyam Sundar ^{[1
]}

Bazighifan, Omar ^{[2
]}

Postolache, Mihai ^{[3
,4
,5
,6
]}

机构：

[1] JIS Coll Engn, Dept Math, Kalyani 741235, W Bengal, India

[2] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen

[3] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

[4] Asia Univ, Dept Interior Design, Taichung 41354, Taiwan

[5] Romanian Acad, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl, Bucharest 050711, Romania

[6] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

MATHEMATICS | 2021年 / 9卷 / 11期

关键词：

neutral; oscillation; non-oscillation; non-linear; Lebesgue's dominated convergence theorem; DYNAMIC EQUATIONS; CRITERIA; BEHAVIOR; EVEN; THEOREMS; SYSTEMS;

D O I：

10.3390/math9111159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In continuous applications in electrodynamics, neural networks, quantum mechanics, electromagnetism, and the field of time symmetric, fluid dynamics, neutral differential equations appear when modeling many problems and phenomena. Therefore, it is interesting to study the qualitative behavior of solutions of such equations. In this study, we obtained some new sufficient conditions for oscillations to the solutions of a second-order delay differential equations with sub-linear neutral terms. The results obtained improve and complement the relevant results in the literature. Finally, we show an example to validate the main results, and an open problem is included.

引用

页数：9

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