On some Gronwall type inequalities involving iterated integrals

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Cho, Yeol Je, Dragomir, Sever S ORCID: 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 https://doi.org/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
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