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

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.

Abstract:

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.