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J. Korean Math. Soc. 2008; 45(1): 121-136

Printed January 1, 2008

Copyright © The Korean Mathematical Society.

On certain new nonlinear retarded integral inequalities for functions in two variables and their applications

Qing-Hua Ma and Josip Pecaric

Guangdong University of Foreign Studies, University of Zagreb

Abstract

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Some new explicit bounds on the solutions to a class of new nonlinear retarded Volterra-Fredholm type integral inequalities in two independent variables are established, which can be used as effective tools in the study of certain integral equations. Some examples of application are also indicated.

Keywords: nonlinear retarded inequality, two variables, explicit bound, Volterra-Fredholm type integral equations

MSC numbers: 26D15, 35A05

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