Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations

The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.

Detalles Bibliográficos
Autores principales: Amiraliyev, Gabil M., Ucar, Aysenur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3867895/
https://www.ncbi.nlm.nih.gov/pubmed/24369452
http://dx.doi.org/10.1155/2013/301609
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author Amiraliyev, Gabil M.
Ucar, Aysenur
author_facet Amiraliyev, Gabil M.
Ucar, Aysenur
author_sort Amiraliyev, Gabil M.
collection PubMed
description The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.
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spelling pubmed-38678952013-12-25 Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations Amiraliyev, Gabil M. Ucar, Aysenur ScientificWorldJournal Research Article The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented. Hindawi Publishing Corporation 2013-12-04 /pmc/articles/PMC3867895/ /pubmed/24369452 http://dx.doi.org/10.1155/2013/301609 Text en Copyright © 2013 G. M. Amiraliyev and A. Ucar. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Amiraliyev, Gabil M.
Ucar, Aysenur
Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
title Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
title_full Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
title_fullStr Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
title_full_unstemmed Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
title_short Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
title_sort asymptotic bounds for the time-periodic solutions to the singularly perturbed ordinary differential equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3867895/
https://www.ncbi.nlm.nih.gov/pubmed/24369452
http://dx.doi.org/10.1155/2013/301609
work_keys_str_mv AT amiraliyevgabilm asymptoticboundsforthetimeperiodicsolutionstothesingularlyperturbedordinarydifferentialequations
AT ucaraysenur asymptoticboundsforthetimeperiodicsolutionstothesingularlyperturbedordinarydifferentialequations

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