A Spectrum Relation of Almost Periodic Solution of Second Order Scalar Functional Differential Equations with Piecewise Constant Argument

被引：5

作者：

Wang, Li ^{[2
]}

Yuan, Rong ^{[1
]}

Zhang, Chuan Yi ^{[3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 11期

关键词：

Neutral delay-differential equation; piecewise constant argument; almost periodicity; spectrum;

D O I：

10.1007/s10114-011-8392-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：2275 / 2284

页数：10

共 12 条

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