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Some new nonlinear powered Gronwall-Bellman type retarded integral inequalities and their applications

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The purpose of the this paper is to establish some new retarded integral inequalities of Gronwall-Bellman type, which generalizes some known integral inequalities. The inequalities given here can be used… Click to show full abstract

The purpose of the this paper is to establish some new retarded integral inequalities of Gronwall-Bellman type, which generalizes some known integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of certain classes of differential equations and integral equations. We apply our result to the boundedness of the solutions of integral equations. Mathematics subject classification (2010): 26D10, 26D15, 26D20.

Keywords: new nonlinear; gronwall bellman; integral inequalities; retarded integral; bellman type

Journal Title: Journal of Mathematical Inequalities
Year Published: 2019

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