On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument

On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument

<p/> <p>The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument (EPCA, for short) of the form <inline-formula><graphic file="1687-1847-2009-143175-i1.gif"/></inline-formula>...

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Main Authors: Wang Li, Zhang Chuanyi
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2009/143175
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spelling doaj-bcbbe1ecf6be48d4a2ea71e413b6988d2020-11-25T00:24:48ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-0120091143175On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of ArgumentWang LiZhang Chuanyi<p/> <p>The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument (EPCA, for short) of the form <inline-formula><graphic file="1687-1847-2009-143175-i1.gif"/></inline-formula> is considered. The main result obtained in this paper is different from that given by some authors for ordinary differential equations (ODE, for short) and clearly shows the differences between ODE and EPCA. Moreover, it is also different from that given for equation <inline-formula><graphic file="1687-1847-2009-143175-i2.gif"/></inline-formula> because of the difference between <inline-formula><graphic file="1687-1847-2009-143175-i3.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2009-143175-i4.gif"/></inline-formula>.</p> http://www.advancesindifferenceequations.com/content/2009/143175
collection DOAJ
language English
format Article
sources DOAJ
author Wang Li
Zhang Chuanyi
spellingShingle Wang Li
Zhang Chuanyi
On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
Advances in Difference Equations
author_facet Wang Li
Zhang Chuanyi
author_sort Wang Li
title On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
title_short On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
title_full On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
title_fullStr On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
title_full_unstemmed On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
title_sort on the spectrum of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2009-01-01
description <p/> <p>The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument (EPCA, for short) of the form <inline-formula><graphic file="1687-1847-2009-143175-i1.gif"/></inline-formula> is considered. The main result obtained in this paper is different from that given by some authors for ordinary differential equations (ODE, for short) and clearly shows the differences between ODE and EPCA. Moreover, it is also different from that given for equation <inline-formula><graphic file="1687-1847-2009-143175-i2.gif"/></inline-formula> because of the difference between <inline-formula><graphic file="1687-1847-2009-143175-i3.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2009-143175-i4.gif"/></inline-formula>.</p>
url http://www.advancesindifferenceequations.com/content/2009/143175
work_keys_str_mv AT wangli onthespectrumofalmostperiodicsolutionofsecondorderneutraldelaydifferentialequationswithpiecewiseconstantofargument
AT zhangchuanyi onthespectrumofalmostperiodicsolutionofsecondorderneutraldelaydifferentialequationswithpiecewiseconstantofargument
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