具有逐段常量的三阶微分方程解的周期性和概周期性（英文）  

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

作　　者：张宝 李洪旭[1] ZHANG Bao;LI Hong-Xu(School of Mathematics,Sichuan University,Chengdu 610064,China)

机构地区：[1]四川大学数学学院

出　　处：《四川大学学报（自然科学版）》2020年第1期1-6,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11971329,11561077)

摘　　要：本文研究具有逐段常量的三阶微分方程x^(t)- a^2x′(t)=bx(2[t+1/2]),通过方程对应的差分方程给出了方程解的具体形式, 并由此得到了关于方程解的周期性和概周期性的一些结果.In this paper,we consider the following third-order differential equation with piecewise constant argument:x^(t)- a^2x′(t)=bx(2[t+1/2]),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 of the equation.

关 键 词：三阶微分方程 逐段常量 周期性 概周期性 

分 类 号：O175.12[理学—数学]