On some Gronwall type inequalities involving iterated integrals
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Cho, Yeol Je, Dragomir, Sever S 
ORCID: https://orcid.org/0000-0003-2902-6805 and Kim, Young-Ho
(2011)
On some Gronwall type inequalities involving iterated integrals.
Mathematical Inequalities and Applications, 14 (3).
pp. 605-620.
ISSN 1331-4343
Abstract
In this paper we consider simple inequalities involving iterated integrals in the inequality (1.1) for functions when the function u in the both side of the inequality (1.1) are replaced by the function w(u) and ϕ (u) for some functions w,ϕ and provide some retarded integral inequalities involving iterated integrals. Some applications are also given to illustrate the usefulness of our results.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/7644 |
| DOI | 10.7153/mia-14-52 |
| Official URL | http://mia.ele-math.com/14-52/On-some-Gronwall-typ... |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID22871, Gronwall-Bellman inequalities, retarded integral inequalities, iterated integrals, integro-differential equation |
| Citations in Scopus | 1 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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