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
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.
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页数:15
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