Nabla inequalities and permanence for a logistic integrodifferential equation on time scales

In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on time scales and sufficient conditions for the...

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Main Authors:	Hu Meng, Wang Lili
Format:	Article
Language:	English
Published:	De Gruyter 2017-12-01
Series:	Open Mathematics
Subjects:	nabla inequality permanence integrodifferential equation time scale 34n05 34k38 92b05
Online Access:	https://doi.org/10.1515/math-2017-0133

id	doaj-f377baad543340cb93357de4c8da4c32
record_format	Article
spelling	doaj-f377baad543340cb93357de4c8da4c322021-09-06T19:20:09ZengDe GruyterOpen Mathematics2391-54552017-12-011511578159010.1515/math-2017-0133math-2017-0133Nabla inequalities and permanence for a logistic integrodifferential equation on time scalesHu Meng0Wang Lili1School of mathematics and statistics, Anyang Normal University, Anyang, Henan 455000, ChinaSchool of mathematics and statistics, Anyang Normal University, Anyang, Henan 455000, ChinaIn this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on time scales and sufficient conditions for the permanence of the equation are derived. Finally, numerical examples together with their simulations are presented to illustrate the feasibility and effectiveness of the results.https://doi.org/10.1515/math-2017-0133nabla inequalitypermanenceintegrodifferential equationtime scale34n0534k3892b05
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hu Meng Wang Lili
spellingShingle	Hu Meng Wang Lili Nabla inequalities and permanence for a logistic integrodifferential equation on time scales Open Mathematics nabla inequality permanence integrodifferential equation time scale 34n05 34k38 92b05
author_facet	Hu Meng Wang Lili
author_sort	Hu Meng
title	Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
title_short	Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
title_full	Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
title_fullStr	Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
title_full_unstemmed	Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
title_sort	nabla inequalities and permanence for a logistic integrodifferential equation on time scales
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2017-12-01
description	In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on time scales and sufficient conditions for the permanence of the equation are derived. Finally, numerical examples together with their simulations are presented to illustrate the feasibility and effectiveness of the results.
topic	nabla inequality permanence integrodifferential equation time scale 34n05 34k38 92b05
url	https://doi.org/10.1515/math-2017-0133
work_keys_str_mv	AT humeng nablainequalitiesandpermanenceforalogisticintegrodifferentialequationontimescales AT wanglili nablainequalitiesandpermanenceforalogisticintegrodifferentialequationontimescales
_version_	1717777193129476096

Nabla inequalities and permanence for a logistic integrodifferential equation on time scales

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