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

Abstract 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 anal...

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Main Authors:	Zizun Li, Wu-Sheng Wang
Format:	Article
Language:	English
Published:	SpringerOpen 2017-11-01
Series:	Journal of Inequalities and Applications
Subjects:	integral inequality for discontinuous function retarded weakly singular explicit bounds singular integral equation
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1563-0

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spelling	doaj-a462eb7a85f7400cb336fe93e4491c562020-11-25T00:50:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-11-012017112010.1186/s13660-017-1563-0Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applicationsZizun Li0Wu-Sheng Wang1School of Mathematics, Sichuan UniversitySchool of Mathematics and Statistics, Hechi UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-017-1563-0integral inequality for discontinuous functionretardedweakly singularexplicit boundssingular integral equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zizun Li Wu-Sheng Wang
spellingShingle	Zizun Li Wu-Sheng Wang Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications Journal of Inequalities and Applications integral inequality for discontinuous function retarded weakly singular explicit bounds singular integral equation
author_facet	Zizun Li Wu-Sheng Wang
author_sort	Zizun Li
title	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_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_sort	explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-11-01
description	Abstract 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.
topic	integral inequality for discontinuous function retarded weakly singular explicit bounds singular integral equation
url	http://link.springer.com/article/10.1186/s13660-017-1563-0
work_keys_str_mv	AT zizunli explicitboundsofunknownfunctionofsomenewweaklysingularretardedintegralinequalitiesfordiscontinuousfunctionsandtheirapplications AT wushengwang explicitboundsofunknownfunctionofsomenewweaklysingularretardedintegralinequalitiesfordiscontinuousfunctionsandtheirapplications
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Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

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