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

作　　者：Xiaowen Zhao Wei Jiang 

机构地区：[1]School of Automation,Huazhong University of Science and Technology [2]School of Mathematical Sciences,Anhui University

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)

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.

关 键 词：neutral delay differential equations nonoscillatory solution contrac-tion mapping Mann iterative sequence error estimate 

分 类 号：O175[理学—数学]