Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales

被引：1
|
作者：
Hassan, A. [1 ]
Odinaev, Ismoil [2 ]
Hassan, Taher S. [3 ,4 ,5 ]
机构：
[1] Benha Univ, Fac Sci, Dept Math, Benha Kalubia 13518, Egypt
[2] Ural Fed Univ, Ural Power Engn Inst, Dept Automated Elect Syst, Ekaterinburg 620002, Russia
[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2, I-00186 Rome 39, Italy
[4] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia
[5] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
JOURNAL OF MATHEMATICS | 2023年 / 2023卷
关键词：
DIFFERENTIAL-EQUATIONS; CRITERIA; THEOREMS;
D O I：
10.1155/2023/5585174
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The objective of this article is to examine the oscillatory behavior of a class of quasilinear second-order dynamic equations on time scales. Our focus will be on the noncanonical case, which has received relatively less attention compared to the more commonly studied canonical dynamic equations. Our approach involves transforming the noncanonical equation into a corresponding canonical equation. By utilizing this transformation and a range of techniques, we develop new, more efficient, and precise oscillation criteria. Finally, we demonstrate the significance and usefulness of our results by applying them to specific cases within the equation being studied.
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页数：10
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