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Some generalized nonlinear retarded integral inequalities with applications. (English) Zbl 1279.26035

Summary: We discuss some new generalized nonlinear Gronwall-Bellman-type integral inequalities with two variables, which include a non-constant term outside the integrals. We use our result to deal with the estimate on the solutions of partial differential equations with the initial and boundary conditions.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals
26D20 Other analytical inequalities
34A40 Differential inequalities involving functions of a single real variable
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