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.


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
Full Text: DOI


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