某些高阶非线性动态方程在时间尺度上的渐近和振荡

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-05-09 DOI:10.1007/s13324-024-00917-y

Xin Wu, Taixiang Sun, Jiaying Wang

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引用次数: 0

摘要

在最近的一篇论文中，Hassan 和 O'Regan (Rocky Mt J Math 50:599-617, 2020) 研究了一些高阶非线性动态方程的解在时间尺度上的振荡行为。在本文中，我们研究了一个悬而未决的问题（Hassan 和 O'Regan 在 Rocky Mt J Math 50:599-617, 2020 中），并利用广义 Riccati 方法和积分平均技术完全解决了这一问题。我们的研究结果是上述论文的增补。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.