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

• 作者: Wei Jiang Xiaowen Zhao
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 非线性中立型时滞微分方程 Mann迭代逼近 二阶非线性 非振动解 投影 误差估计 近似解
• 年，卷（期）: 2014,（1）
• 页码范围: 115-126
• 页数: 12页
• 分类号: O175.2

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.