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《微分方程年刊(英文版)》 2014-01
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EXISTENCE AND MANN ITERATIVE APPROXIMATIONS OF NONOSCILLATORY SOLUTIONS TO SECOND-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

Xiaowen Zhao;Wei Jiang;School of Automation,Huazhong University of Science and Technology;School of Mathematical Sciences,Anhui University;  
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.
【Fund】: 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)
【CateGory Index】: O175
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【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 Zi Xue-ping;School of Applied Mathematics,Guangdong University of Technology;;The Existence of Nonoscillatory Solutions to Higher Order Nonlinear Neutral Differential Equations[J];Journal of Guangdong University of Technology;2013-04
2 LI Tu-tu;LIU Gui-rong;School of Mathematical Sciences,Shanxi University;;Existence and Iterative Approximation of Nonoscillatory Solutions for nth-Order Neutral Delay Differential Equations[J];Mathematics in Practice and Theory;2013-20
3 YANG Jia-shan;FANG Bin;Department of Mathematics and Physics,Wuzhou University;Beijing Institute of Information and Control;College of Mathematics and Information Science,Xinyang Normal University;;Oscillation of a Class of Second Order Neutral Differential Equations[J];Mathematics in Practice and Theory;2013-23
4 WANG Li-li;College of Mathematics,Tonghua Normal University;;Solvability for a Third-order Nonlinear Neutral Delay Differential Equation[J];Journal of Tonghua Normal University;2013-12
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