时间尺度上的正则、非正则和半正则三阶动力方程

Q1 Mathematics

Results in Nonlinear Analysis Pub Date : 2022-09-30 DOI:10.53006/rna.1075859

J. Graef

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引用次数: 1

摘要

引入了时间尺度上的三阶半正则动力方程的概念，使得任何三阶方程都是正则、非正则或半正则形式，并给出了将这两类半正则方程分别转化为正则形式方程的方法。最终结果是，正则方程的振动和其他渐近结果可以应用于半正则方程的类似结果。

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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Canonical, Noncanonical, and Semicanonical Third Order Dynamic Equations on Time Scales

The notion of third order semicanonical dynamic equations on time scales is introduced so that any third order equation is either in canonical, noncanonical, or semicanonical form. Then a technique for transforming each of the two types of semicanonical equations to an equation in canonical form is given. The end result is that oscillation and other asymptotic results for canonical equations can then be applied to obtain analogous results for semicanonical equations.

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来源期刊

Results in Nonlinear Analysis Mathematics-Mathematics (miscellaneous)

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks