On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations

Author:

Zheng Kelong,Wang Hong,Guo Chunxiang

Abstract

Abstract Some nonlinear discrete weakly singular inequalities, which generalize some known results are discussed. Under suitable parameters, prior bounds on solutions to nonlinear Volterra-type difference equations are obtained. Two examples are presented to show the applications of our results in boundedness and uniqueness of solutions of difference equations, respectively. MSC:34A34, 45J05.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

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