Monotone iterative technique for initial-value problems of nonlinear singular discrete systems

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摘要

This paper studies a class of initial-value problems of nonlinear singular discrete systems and obtains the existence theorem of extremal solutions by employing a monotone iterative technique combined with the method of upper and lower solutions.

论文关键词:65L80,39B12,Initial-value problems,Iteration methods,Upper and lower solutions,Nonlinear singular discrete systems

论文评审过程:Received 14 November 2006, Revised 4 October 2007, Available online 18 October 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.10.002