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Zbl 1176.35007
Chen, Chur-Jen; Cheung, Wing-Sum; Zhao, Dandan
Gronwall-Bellman-type integral inequalities and applications to BVPs. (English)
[J] J. Inequal. Appl. 2009, Article ID 258569, 15 p. (2009). ISSN 1029-242X/e

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 2000:: *35A23
26D15 Inequalities for sums, series and integrals of real functions
34B15 Nonlinear boundary value problems of ODE

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