Ergodic type solutions of differential equations with piecewise constant arguments

We summarize the conditions discovered for the existence of new ergodic type solutions (asymptotically almost periodic, pseudo almost periodic, ...) of differential equations with piecewise constant arguments. Their existence is characterized by introducing a new tool, the ergodic sequences.

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Bibliographic Details
Main Authors: Ana Isabel Alonso, Jialin Hong
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006263
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author Ana Isabel Alonso
Jialin Hong
author_facet Ana Isabel Alonso
Jialin Hong
author_sort Ana Isabel Alonso
collection DOAJ
description We summarize the conditions discovered for the existence of new ergodic type solutions (asymptotically almost periodic, pseudo almost periodic, ...) of differential equations with piecewise constant arguments. Their existence is characterized by introducing a new tool, the ergodic sequences.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-0d6dd18397cd49699a51eb93ac463e0a2025-02-03T00:59:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01281060961910.1155/S0161171201006263Ergodic type solutions of differential equations with piecewise constant argumentsAna Isabel Alonso0Jialin Hong1Departamento de Matemática Aplicada a la Ingeniería, Paseo del Cauce s/n. 47011, Universidad de Valladolid, SpainInstitute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, ChinaWe summarize the conditions discovered for the existence of new ergodic type solutions (asymptotically almost periodic, pseudo almost periodic, ...) of differential equations with piecewise constant arguments. Their existence is characterized by introducing a new tool, the ergodic sequences.http://dx.doi.org/10.1155/S0161171201006263
spellingShingle Ana Isabel Alonso
Jialin Hong
Ergodic type solutions of differential equations with piecewise constant arguments
International Journal of Mathematics and Mathematical Sciences
title Ergodic type solutions of differential equations with piecewise constant arguments
title_full Ergodic type solutions of differential equations with piecewise constant arguments
title_fullStr Ergodic type solutions of differential equations with piecewise constant arguments
title_full_unstemmed Ergodic type solutions of differential equations with piecewise constant arguments
title_short Ergodic type solutions of differential equations with piecewise constant arguments
title_sort ergodic type solutions of differential equations with piecewise constant arguments
url http://dx.doi.org/10.1155/S0161171201006263
work_keys_str_mv AT anaisabelalonso ergodictypesolutionsofdifferentialequationswithpiecewiseconstantarguments
AT jialinhong ergodictypesolutionsofdifferentialequationswithpiecewiseconstantarguments