In the paper the authors establish four theorems on two-independent-variableGronwall-type inequalities involving improper integrals with infinite integration limits.The results obtained improve and generalize the main...In the paper the authors establish four theorems on two-independent-variableGronwall-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 thestudy of many Volterra integral and integro-differential equations with improper integralfunctionals.展开更多
文摘In the paper the authors establish four theorems on two-independent-variableGronwall-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 thestudy of many Volterra integral and integro-differential equations with improper integralfunctionals.
