A spectrum relation of almost periodic solution of second order scalar functional differential equations with piecewise constant argument

被引：0
|
作者：
Li Wang
Rong Yuan
Chuan Yi Zhang
机构：
[1] Northwestern Polytechnical University,Department of Applied Mathematics
[2] Beijing Normal University,School of Mathematical Sciences
[3] Harbin Institute of Technology,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Neutral delay-differential equation; piecewise constant argument; almost periodicity; spectrum; 34K14;
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摘要：
In this paper, the spectrum relation of almost periodic solution for the equation (x(t) + px(t − 1))″ = qx([t]) + f(t) is investigated. Although this has been discussed in an article, some counterexamples are constructed to show that some part of the spectrum inclusion in that article is not correct. The key point which causes such problem is found out. A new statement is formulated and proved.
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页码：2275 / 2284
页数：9
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