具有脉冲积分条件的泛函微分方程解的存在性和二阶收敛性

J4 ›› 2012, Vol. 47 ›› Issue (6): 20-27.

具有脉冲积分条件的泛函微分方程解的存在性和二阶收敛性

胡兵,乔元华*

北京工业大学应用数理学院, 北京 100124

收稿日期:2011-04-01 出版日期:2012-06-20 发布日期:2012-06-26
通讯作者: 乔元华(1969- ),女,博士,副教授,研究方向为微分方程与动力系统. Email: qiaoyuanhua@bjut.edu.cn
作者简介:胡兵(1986- ),男,硕士研究生,研究方向为泛函微分方程. Email: hubingshuxue@163.com
基金资助:
国家自然科学基金资助项目(61070149); 北京市自然科学基金资助项目(4072023)

Existence and quadratic convergence of solution sequences for functional differential equations with an impulsive integral condition

HU Bing, QIAO Yuan-hua*

College of Applied Science, Beijing University of Technology, Beijing 100124, China

Received:2011-04-01 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

摘要：

讨论一类具有脉冲积分条件的非线性一次脉冲泛函微分方程反周期边值问题的解序列的存在性、一致收敛性和二阶收敛性。主要工具是单调迭代技术和拟线性方法。

关键词: 脉冲泛函微分方程;脉冲积分条件;单调迭代技术;拟线性方法

Abstract:

The uniform existence and quadratic convergence of solution sequences for a class of nonlinear first order impulsive functional differential equations under antiperiodic boundary value conditions with an impulsive integral condition is discussed. The main tools are the monotone iterative technique and the method of quasilinearization.

Key words: impulsive functional differential equation; impulsive integral condition; monotone iterative technique; quasilinearization method

胡兵,乔元华*. 具有脉冲积分条件的泛函微分方程解的存在性和二阶收敛性[J]. J4, 2012, 47(6): 20-27.

HU Bing, QIAO Yuan-hua*. Existence and quadratic convergence of solution sequences for functional differential equations with an impulsive integral condition[J]. J4, 2012, 47(6): 20-27.

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