Asymptotics and oscillation for certain higher-order nonlinear dynamic equations on time scales

被引：1
|
作者：
Wu, Xin [1 ]
Sun, Taixiang [2 ]
Wang, Jiaying [3 ]
机构：
[1] East China Jiaotong Univ, Sch Sci, Nanchang 330013, Peoples R China
[2] Guangxi ASEAN Res Ctr Finance & Econ, Nanning 530003, Peoples R China
[3] Univ Nottingham, Business Sch, Nottingham NG7 2RD, England
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2024年 / 14卷 / 03期
关键词：
Oscillation; Asymptotics; Higher-order nonlinear dynamic equations; Time scales; Generalized Riccati technique; CRITERIA; BEHAVIOR;
D O I：
10.1007/s13324-024-00917-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a recent paper, Hassan and O'Regan (Rocky Mt J Math 50:599-617, 2020) studied the oscillatory behavior of solutions for some higher-order nonlinear dynamic equations on time scales. In this paper, we investigate an open problem (Hassan and O'Regan in Rocky Mt J Math 50:599-617, 2020) and completely solve it by using the generalized Riccati approach and integral averaging technique. Our findings constitute an addendum to the above paper.
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页数：16
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