Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument

We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form (x(t)+x(t−1))′′=qx(2[(t+1)/2])+f(t), where [⋅] denotes the greatest integer function, q is a real nonzero constant, and...

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Main Authors: Chuanyi Zhang, Li Wang
Format: Article
Language:English
Published: SpringerOpen 2008-06-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2008/816091
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author Chuanyi Zhang
Li Wang
author_facet Chuanyi Zhang
Li Wang
author_sort Chuanyi Zhang
collection DOAJ
description We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form (x(t)+x(t−1))′′=qx(2[(t+1)/2])+f(t), where [⋅] denotes the greatest integer function, q is a real nonzero constant, and f(t) is almost periodic.
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spelling doaj.art-16cd1bfb9faa40aa9c670c6dd2ef7d952022-12-22T03:01:03ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472008-06-01200810.1155/2008/816091Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant ArgumentChuanyi ZhangLi WangWe investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form (x(t)+x(t−1))′′=qx(2[(t+1)/2])+f(t), where [⋅] denotes the greatest integer function, q is a real nonzero constant, and f(t) is almost periodic.http://dx.doi.org/10.1155/2008/816091
spellingShingle Chuanyi Zhang
Li Wang
Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
Advances in Difference Equations
title Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
title_full Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
title_fullStr Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
title_full_unstemmed Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
title_short Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
title_sort almost periodic weak solutions of second order neutral delay differential equations with piecewise constant argument
url http://dx.doi.org/10.1155/2008/816091
work_keys_str_mv AT chuanyizhang almostperiodicweaksolutionsofsecondorderneutraldelaydifferentialequationswithpiecewiseconstantargument
AT liwang almostperiodicweaksolutionsofsecondorderneutraldelaydifferentialequationswithpiecewiseconstantargument