Some Two-Independent-Variable Inequalities Involving Improper Integrals

Citation:

Yang Enhao,Gan Luru.Some Two-Independent-Variable Inequalities Involving Improper Integrals[J].Chinese Annals of Mathematics B,1990,11(4):410~417
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Authors:

Yang Enhao; Gan Luru
Abstract: In the paper the authors establish four theorems on two-independent-variable Gronwall-type inequalities involving improper integrals with infinite integration limits.The results obtained improve and generalize the main results proved in the recent paper [5] by A. Corduneanu. Two classes of nonlinear continuous functions defined by F. M.Dannan [6] are applied in this article. And the results can be used as handy tools in the study of many Volterra integral and integro-differential equations with improper integral functionals.

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