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New existence results for nonlinear delayed differential systems at resonance

This paper deals with the first-order delayed differential systems [Formula: see text] where a, b, τ, h are continuous ω-periodic functions with [Formula: see text] and [Formula: see text] ; [Formula: see text] and [Formula: see text] are ω-periodic with respect to t. By means of the fixed point the...

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Detalles Bibliográficos
Autores principales: Chen, Ruipeng, Li, Xiaoya
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244713/
https://www.ncbi.nlm.nih.gov/pubmed/30839811
http://dx.doi.org/10.1186/s13660-018-1912-7
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author Chen, Ruipeng
Li, Xiaoya
author_facet Chen, Ruipeng
Li, Xiaoya
author_sort Chen, Ruipeng
collection PubMed
description This paper deals with the first-order delayed differential systems [Formula: see text] where a, b, τ, h are continuous ω-periodic functions with [Formula: see text] and [Formula: see text] ; [Formula: see text] and [Formula: see text] are ω-periodic with respect to t. By means of the fixed point theorem in cones, several new existence theorems on positive periodic solutions are established. Our main results enrich and complement those available in the literature.
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spelling pubmed-62447132018-12-04 New existence results for nonlinear delayed differential systems at resonance Chen, Ruipeng Li, Xiaoya J Inequal Appl Research This paper deals with the first-order delayed differential systems [Formula: see text] where a, b, τ, h are continuous ω-periodic functions with [Formula: see text] and [Formula: see text] ; [Formula: see text] and [Formula: see text] are ω-periodic with respect to t. By means of the fixed point theorem in cones, several new existence theorems on positive periodic solutions are established. Our main results enrich and complement those available in the literature. Springer International Publishing 2018-11-16 2018 /pmc/articles/PMC6244713/ /pubmed/30839811 http://dx.doi.org/10.1186/s13660-018-1912-7 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Chen, Ruipeng
Li, Xiaoya
New existence results for nonlinear delayed differential systems at resonance
title New existence results for nonlinear delayed differential systems at resonance
title_full New existence results for nonlinear delayed differential systems at resonance
title_fullStr New existence results for nonlinear delayed differential systems at resonance
title_full_unstemmed New existence results for nonlinear delayed differential systems at resonance
title_short New existence results for nonlinear delayed differential systems at resonance
title_sort new existence results for nonlinear delayed differential systems at resonance
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244713/
https://www.ncbi.nlm.nih.gov/pubmed/30839811
http://dx.doi.org/10.1186/s13660-018-1912-7
work_keys_str_mv AT chenruipeng newexistenceresultsfornonlineardelayeddifferentialsystemsatresonance
AT lixiaoya newexistenceresultsfornonlineardelayeddifferentialsystemsatresonance