Estimates on some power nonlinear Volterra–Fredholm type discrete inequalities and their applications

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摘要

Some explicit bounds on solutions to a class of new power nonlinear Volterra–Fredholm type discrete inequalities are established, which can be used as effective tools in the study of certain sum-difference equations. Application examples are also given.

论文关键词：26D15,26D20,39A10,Power nonlinear discrete inequalities,Volterra–Fredholm type,Gronwall–Bellman–Ou-Iang type,Explicit bounds,Sum-difference equations

论文评审过程：Received 1 August 2007, Revised 2 October 2009, Available online 8 October 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.10.002