EXISTENCE AND ITERATIVE APPROXIMATIONS OF BOUNDED POSITIVE SOLUTIONS TO A NONLINEAR NEUTRAL DIFFERENTIAL EQUATION

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摘要 In this paper,we consider a nonlinear neutral differential equation.By the Schauder fixed point theorem,some sufficient conditions are obtained to ensure the existence of uncountably many bounded positive solutions.In addition,we give the iterative approximation sequences with errors for these positive solutions and establish some error estimates between the approximate and the positive solutions.

作者 Jie Zhong Guirong Liu

机构地区 School of Mathematical Sciences

出处《Annals of Differential Equations》 2012年第3期373-378,共6页 微分方程年刊(英文版)

基金 supported by the Natural Science Foundation of China(No.11001157) the Youth Science Foundation of Shanxi Province(No.2009021001-1) the Program for the Top Young Academic Leaders of Higher Learning Institutions of Shanxi

关键词 neutral differential equation bounded positive solution APPROXIMATION fixed point

分类号 O175 [理学—基础数学]

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Annals of Differential Equations

2012年第3期

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EXISTENCE AND ITERATIVE APPROXIMATIONS OF BOUNDED POSITIVE SOLUTIONS TO A NONLINEAR NEUTRAL DIFFERENTIAL EQUATION

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