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On some new nonlinear retarded integral inequalities. (English) Zbl 1068.26020

The author obtains some new nonlinear retarded integral inequalities which can be used in the study of certain classes of retarded differential and integral equations. The results obtained are further improvements of the recent results of O. Lipovan [J. Math. Anal. Appl. 285, No. 2, 436–443 (2003; Zbl 1040.26007)] which are not directly applicable in the study of certain retarded differential and integral equations. Applications of the results obtained were given to demonstrate their usefulness in obtaining explicit bounds to the differential equations involving several retarded arguments for which the results of Lipovan [loc. cit.] can not be easily applied.

MSC:

26D15 Inequalities for sums, series and integrals

Citations:

Zbl 1040.26007
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