Generalized retarded nonlinear integral inequalities involving iterated integrals and an application

摘要

In this work, some new generalized retarded nonlinear integral inequalities, which include nonlinear composite functions of unknown functions between iterated integrals, are discussed. By adopting novel analysis techniques, the upper bounds of the embedded unknown functions are estimated explicitly. The derived results can be applied in the study of differential-integral equations and some practical problems in engineering. MSC:26D15, 26D20, 34A12.