具有逐段常量的三阶微分方程解的周期性和概周期性

Periodicity and almost periodicity for solutions of third-order differential equations with piecewise constant argument

作者：张宝(四川大学数学学院)；李洪旭(四川大学数学学院)

Author：ZHANG Bao(School of Mathematics, Sichuan University)；LI Hong-Xu(School of Mathematics, Sichuan University)

收稿日期：2018-12-24 年卷（期）页码：2020,57(1):1-6

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：三阶微分方程; 逐段常量; 周期性; 概周期性

Key words：Third-order differential equation; Piecewise constant argument; Periodicity; Almost periodicity

基金项目：国家自然科学基金 (11471227, 11561077)

中文摘要

本文考虑了具有逐段常量的三阶微分方程，通过其对应的差分方程给出了方程解的具体形式, 并由此得到了其解的周期性和概周期性的一些结果.

英文摘要

In this paper, we consider the third-order differential equation with piecewise constant argument. We first give the form of the solution in term of the solution of the corresponding difference equation. Then we give some results on the periodicity and almost periodicity for the solutions.

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论文摘要

具有逐段常量的三阶微分方程解的周期性和概周期性

Periodicity and almost periodicity for solutions of third-order differential equations with piecewise constant argument