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http://dx.doi.org/10.7468/jksmeb.2011.18.1.063

STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE  

Kim, Yung-Jin (Onyang Yonghwa Middle School)
Publication Information
The Pure and Applied Mathematics / v.18, no.1, 2011 , pp. 63-78 More about this Journal
Abstract
In the present paper, we obtain integral inequalities involving the Kurzweil-Stieltjes integrals which generalize Gronwall-Bellman inequality and we use the inequalities to verify existence of solutions of a certain integral equation. Such inequalities will play an important role in the study of impulsively perturbed systems [9].
Keywords
Stieltjes derivatives; integral inequalities of Stieltjes type;
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