河北大学学报(自然科学版) ›› 2017, Vol. 37 ›› Issue (5): 449-453.DOI: 10.3969/j.issn.1000-1565.2017.05.001

• •    下一篇

一类二阶泛函微分方程初值问题解的收敛性

王培光,付芳芳,鲍俊艳   

  • 收稿日期:2017-02-10 出版日期:2017-09-25 发布日期:2017-09-25
  • 作者简介:王培光(1963—),男,黑龙江哈尔滨人,河北大学教授,博士生导师,主要从事微分方程与控制理论的研究. E-mail:pgwang@hbu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11271106);河北省高等学校科学技术研究项目(QN2017018);河北大学研究生创新资助项目(X2016058)

Convergence for a class of second-order functional differential equations with initial condition

WANG Peiguang, FU Fangfang, BAO Junyan   

  1. College of Mathematics and Information Science, Hebei University, Baoding 071002, China
  • Received:2017-02-10 Online:2017-09-25 Published:2017-09-25

摘要: 利用拟线性化方法,讨论了Banach空间中一类二阶泛函微分方程初值问题解的收敛性,获得了解的平方收敛性结果.

关键词: Banach空间, 泛函微分方程, 拟线性化方法, 平方收敛

Abstract: The quasilinearization method is applied to discuss the convergence of the solutions for a class of second-order functional differential equations with initial condition in Banach space. We obtain the solutions for quadratic convergence of the approximate solutions.

Key words: Banach space, functional differential equations, quasilinearization, quadratic convergence

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