Generalization of an inequality of Gronwall-Reid

On an Inequality of Gronwall

In this paper, we obtain some new Gronwall-Bellman type integral inequalities, and we give an application of our results in the study of boundedness of the solutions of nonlinear integrodifferential equations.

On Gronwall Inequality

In this paper, we obtained some new Gronwall-Bellman type integral inequalities and we give some consequences of our results.

a generalization of strong causality

در این رساله t_n - علیت قوی تعریف می شود. این رده ها در جدول علیت فضا- زمان بین علیت پایدار و علیت قوی قرار دارند. یک قضیه برای رده بندی آنها ثابت می شود و t_n- علیت قوی با رده های علی کارتر مقایسه می شود. همچنین ثابت می شود که علیت فشرده پایدار از t_n - علیت قوی نتیجه می شود. بعلاوه به بررسی رابطه نظریه دامنه ها با نسبیت عام می پردازیم و ثابت می کنیم که نوع خاصی از فضا- زمان های علی پایدار, ب...

An Impulsive Nonlinear Singular Version of the Gronwall-bihari Inequality

On a Generalization of an Inequality Of

G. E. Forsythe, who edited the translation of Kantorovich's paper, included the following remark about this footnote: "It is not clear to me that Kantorovich's inequality really is a special case of that of Polya and Szego." Examining the relation between the two inequalities more closely we found that this remark is well justified and can be made even more specific in that the inequality of Po...