Some new nonlinear Volterra–Fredholm-type discrete inequalities and their applications

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摘要

Some new explicit bounds on solutions to a class of new 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 indicated.

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

论文评审过程:Received 22 February 2006, Revised 26 March 2007, Available online 4 June 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.05.021