Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay

Existence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of a system of functional-differential equations with delays are proved. The techniques used are Perov's fixed point theorem and wea...

Descripción completa

Detalles Bibliográficos
Autores principales: Ana Ilea, Veronica, Otrocol, Diana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934606/
https://www.ncbi.nlm.nih.gov/pubmed/24683363
http://dx.doi.org/10.1155/2014/878395
_version_ 1782305076851769344
author Ana Ilea, Veronica
Otrocol, Diana
author_facet Ana Ilea, Veronica
Otrocol, Diana
author_sort Ana Ilea, Veronica
collection PubMed
description Existence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of a system of functional-differential equations with delays are proved. The techniques used are Perov's fixed point theorem and weakly Picard operator theory.
format Online
Article
Text
id pubmed-3934606
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-39346062014-03-30 Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay Ana Ilea, Veronica Otrocol, Diana ScientificWorldJournal Research Article Existence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of a system of functional-differential equations with delays are proved. The techniques used are Perov's fixed point theorem and weakly Picard operator theory. Hindawi Publishing Corporation 2014-02-10 /pmc/articles/PMC3934606/ /pubmed/24683363 http://dx.doi.org/10.1155/2014/878395 Text en Copyright © 2014 V. Ana Ilea and D. Otrocol. 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
Ana Ilea, Veronica
Otrocol, Diana
Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay
title Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay
title_full Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay
title_fullStr Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay
title_full_unstemmed Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay
title_short Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay
title_sort some properties of solutions of a functional-differential equation of second order with delay
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934606/
https://www.ncbi.nlm.nih.gov/pubmed/24683363
http://dx.doi.org/10.1155/2014/878395
work_keys_str_mv AT anaileaveronica somepropertiesofsolutionsofafunctionaldifferentialequationofsecondorderwithdelay
AT otrocoldiana somepropertiesofsolutionsofafunctionaldifferentialequationofsecondorderwithdelay

Ejemplares similares