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Gronwall-Bellman-type integral inequalities and applications to BVPs. (English) Zbl 1176.35007
Summary: We establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. These inequalities generalize former results and can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of differential equations. Example of applying these inequalities to derive the properties of BVPs is also given.

MSC:
35A23Inequalities involving derivatives etc. (PDE)
26D15Inequalities for sums, series and integrals of real functions
34B15Nonlinear boundary value problems for ODE
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