ON SOME NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS AND THEIR APPLICATIONS

- Journal title : Journal of the Korean Mathematical Society
- Volume 45, Issue 2, 2008, pp.331-353
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2008.45.2.331

Title & Authors

ON SOME NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS AND THEIR APPLICATIONS

Ma, Qing-Hua; Pecaric, Josip;

Ma, Qing-Hua; Pecaric, Josip;

Abstract

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. 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;

Language

English

Cited by

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