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J. Korean Math. Soc. 2008; 45(2): 331-353
Printed March 1, 2008
Copyright © The Korean Mathematical Society.
On some new nonlinear retarded integral inequalities with iterated integrals and their applications
Qing-Hua Ma and Josip Pecaric
Guangdong University of Foreign Studies, University of Zagreb
Some new nonlinear retarded integral inequalities of Gronwall-like type are established, which mainly generalized some results given by Cho, Dragomir and Kim (J. Korean Math. Soc. $\bf 43$ (2006), No. 3, pp. 563--578) and can be used in the analysis of various problems in the theory of certain classes of differential equations and integral equations. Applications examples are also indicated.
Keywords: Gronwall-like integral inequalities, retarded, iterated integrals, priori bound
MSC numbers: 26D15, 35A05
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On some integral inequalities with iterated integrals
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