Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior

被引：6

作者：

Al-Jaser, Asma ^{[1
]}

Qaraad, Belgees ^{[2
]}

Bazighifan, Omar ^{[3
]}

Iambor, Loredana Florentina ^{[4
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2 39, I-00186 Rome, Italy

[4] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania

来源：

MATHEMATICS | 2023年 / 11卷 / 12期

关键词：

neutral; second-order; distributed deviating arguments; oscillation; CRITERIA; PAPER;

D O I：

10.3390/math11122605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, new criteria for a class oscillation of second-order delay differential equations with distributed deviating arguments were established. Our method mainly depends on making sharper estimates for the non-oscillatory solutions of the studied equation. By using the Ricati technique and comparison theorems that compare the studied equations with first-order delay differential equations, we obtained new and less restrictive conditions that ensure the oscillation of all solutions of the studied equation. Further, we give an illustrative example.

引用

页数：15

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