EXISTENCE AND MANN ITERATIVE APPROXIMATIONS OF NONOSCILLATORY SOLUTIONS TO SECOND-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

EXISTENCE AND MANN ITERATIVE APPROXIMATIONS OF NONOSCILLATORY SOLUTIONS TO SECOND-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

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摘要 In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nonoscillatory solutions, and give some error estimates between the approximate solutions and the nonoscillatory solutions. And finally we give an example to illustrate our results. In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nonoscillatory solutions, and give some error estimates between the approximate solutions and the nonoscillatory solutions. And finally we give an example to illustrate our results.

作者 Xiaowen Zhao Wei Jiang

机构地区 School of Automation School of Mathematical Sciences

出处《Annals of Differential Equations》 2014年第1期115-126,共12页 微分方程年刊（英文版）

基金 supported by the National Natural Science Foundation of China(No.10771001) Doctoral Fund of Ministry of Education of China(No.20093401110001) Nature Science Foundation of Anhui Province(No.KJ2013B276)

关键词 neutral delay differential equations nonoscillatory solution contrac-tion mapping Mann iterative sequence error estimate neutral delay differential equations nonoscillatory solution contrac-tion mapping Mann iterative sequence error estimate

分类号 O175 [理学—基础数学]

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Annals of Differential Equations

2014年第1期

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EXISTENCE AND MANN ITERATIVE APPROXIMATIONS OF NONOSCILLATORY SOLUTIONS TO SECOND-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

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