Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities. The inequalities given here can be used in the analysis of t...

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Detalles Bibliográficos
Autores principales: Li, Zizun, Wang, Wu-Sheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5693992/
https://www.ncbi.nlm.nih.gov/pubmed/29200796
http://dx.doi.org/10.1186/s13660-017-1563-0
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author Li, Zizun
Wang, Wu-Sheng
author_facet Li, Zizun
Wang, Wu-Sheng
author_sort Li, Zizun
collection PubMed
description The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of certain classes of singular differential equations and singular impulsive equations.
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spelling pubmed-56939922017-11-29 Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications Li, Zizun Wang, Wu-Sheng J Inequal Appl Research The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of certain classes of singular differential equations and singular impulsive equations. Springer International Publishing 2017-11-17 2017 /pmc/articles/PMC5693992/ /pubmed/29200796 http://dx.doi.org/10.1186/s13660-017-1563-0 Text en © The Author(s) 2017 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
Li, Zizun
Wang, Wu-Sheng
Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
title Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
title_full Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
title_fullStr Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
title_full_unstemmed Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
title_short Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
title_sort explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5693992/
https://www.ncbi.nlm.nih.gov/pubmed/29200796
http://dx.doi.org/10.1186/s13660-017-1563-0
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AT wangwusheng explicitboundsofunknownfunctionofsomenewweaklysingularretardedintegralinequalitiesfordiscontinuousfunctionsandtheirapplications

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