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On generalizations of certain nonlinear integral inequalities and their applications

S. G. Latpate

Department of Mathematics, Nowrosjee Wadia College, Pune 411001, India

https://doi.org/10.1142/S1793557118500328Cited by:0 (Source: Crossref)

Abstract

The aim of this paper is to generalize some integral inequalities of Gronwall–Bellman type. We generalize the results presented by Pachpatte in [Inequalities for Differential and Integral Equations (Academic Press, New York, 1998)] and Abdeldaim in [On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation, J. Egypt. Math. Sci. Lett.23 (2015) 470–475] and also establish some new forms.

Communicated by H. M. Srivastava

Keywords:

AMSC: 26D10, 26D15, 26D20, 34A12, 34A40

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