A Note on Gronwall’s Inequality on Time Scales

This paper gives a new version of Gronwall’s inequality on time scales. The method used in the proof is much different from that in the literature. Finally, an application is presented to show the feasibility of the obtained Gronwall’s inequality.

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Main Author: Xueru Lin
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/623726
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author Xueru Lin
author_facet Xueru Lin
author_sort Xueru Lin
collection DOAJ
description This paper gives a new version of Gronwall’s inequality on time scales. The method used in the proof is much different from that in the literature. Finally, an application is presented to show the feasibility of the obtained Gronwall’s inequality.
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spelling doaj-art-69dafaa3af5f464fadfef1f46c06a2d62025-08-20T02:23:56ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/623726623726A Note on Gronwall’s Inequality on Time ScalesXueru Lin0College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, ChinaThis paper gives a new version of Gronwall’s inequality on time scales. The method used in the proof is much different from that in the literature. Finally, an application is presented to show the feasibility of the obtained Gronwall’s inequality.http://dx.doi.org/10.1155/2014/623726
spellingShingle Xueru Lin
A Note on Gronwall’s Inequality on Time Scales
Abstract and Applied Analysis
title A Note on Gronwall’s Inequality on Time Scales
title_full A Note on Gronwall’s Inequality on Time Scales
title_fullStr A Note on Gronwall’s Inequality on Time Scales
title_full_unstemmed A Note on Gronwall’s Inequality on Time Scales
title_short A Note on Gronwall’s Inequality on Time Scales
title_sort note on gronwall s inequality on time scales
url http://dx.doi.org/10.1155/2014/623726
work_keys_str_mv AT xuerulin anoteongronwallsinequalityontimescales
AT xuerulin noteongronwallsinequalityontimescales