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Some new generalized retarded nonlinear integral inequalities with iterated integrals are discussed and upper bound estimations of unknown functions are given by analysis technique. These estimations can be used as tools in the study of differential-integral equations with the initial conditions. MSC: 26D10, 26D15, 26D20, 34A12, 34A40. © 2012 Wang; licensee Springer.

Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications