Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications

Author:

Luo Yaoyao,Xu RunORCID

Abstract

Abstract This paper investigates some new retarded weakly singular integral inequalities with discontinuous functions for two independent variables. The inequalities given here can be used in the qualitative analysis of various problems for integral equations and differential equations. Some examples are also given to illustrate the application of the conclusion.

Funder

National Science Foundation Of China

the Natural Science Foundation of Shandong Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference24 articles.

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4. Agarwal, R.P., Deng, S.F., Zhang, W.N.: Generalization of a retard Gronwall-like inequality and its applications. Appl. Math. Comput. 165, 599–612 (2005)

5. Agarwal, R.P., Kim, Y.H., Sen, S.K.: New retarded integral inequalities with applications. J. Inequal. Appl. 2008, Artical ID 908784 (2008)

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