具逐段常变量的中立型时滞微分方程的伪概周期解

北京大学学报（自然科学版）

具逐段常变量的中立型时滞微分方程的伪概周期解

朴大雄

抚顺石油学院，辽宁抚顺，113001, Email: piaodx@fspu.edu.cn

收稿日期:2000-03-03 出版日期:2001-05-20 发布日期:2001-05-20

Pseudo Almost Periodic Solutions of Neutral Delay Differential Equations with Piecewise Constant Arguments

PIAO Daxiong

Fushun Petroleum Institute, Fushun, 113001

Received:2000-03-03 Online:2001-05-20 Published:2001-05-20

摘要/Abstract

摘要： 通过构造二阶差分方程的伪概周期序列解，研究了带逐段常变量的中立型时滞微分方程d/dt(y(t)+py(t-1))=a₀ y([t])+a₁y([t-1])+F(t, y(t), y([t]))的伪概周期解的存在性及惟一性。

关键词: 伪概周期序列, 差分方程, 逐段常变量, 伪概周期解, 中立型时滞微分方程

Abstract: By constructing a pseudo almost periodic solution sequence for a relevant difference equation, we investigated the existence and uniqueness of pseudo almost periodic solution of neutral delay differential equation with piece-wise constant arguments

d/dt(y(t)+py(t-1))=a₀ y([t])+a₁y([t-1])+F(t, y(t), y([t])).

Key words: pseudo almost periodic sequence, difference equation, piecewise constant argument, pseudo almost periodic solution, neutral delay differential equation

中图分类号:

O175.1

朴大雄. 具逐段常变量的中立型时滞微分方程的伪概周期解[J]. 北京大学学报（自然科学版）.

PIAO Daxiong. Pseudo Almost Periodic Solutions of Neutral Delay Differential Equations with Piecewise Constant Arguments[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.