数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 573-577.

• • 上一篇    下一篇

抽象空间二阶常微分方程组边值问题解的存在唯一性

  

  1. 1. School of Science, University of Science and Technology Liaoning2. School of Science, Northeastern University

  • 收稿日期:2009-09-02 出版日期:2011-12-30 发布日期:2023-04-14
  • 作者简介:WU Li-bing(1980-), male, native of Chaoyang, a lecturer of University of Science and Technology Liaoning, M.S.D., engages in nonlinear function analysis and application; SUN Tao(1959-), male, native of Shenyang, Liaoning, an associate professor of Northeastern University, engages in nonlinear function analysis; HE Xi-qin(1964-), male, native of Huaining, Anhui, a professor of University of Science and Technology Liaoning, Ph.D., engages in modern control theory and nonlinear function analysis.
  • 基金资助:

The Existence and Uniqueness of Solutions to Systems of Second-order Ordinary Differential Equations Boundary Value Problem in Absract Space

  1. 1. School of Science, University of Science and Technology Liaoning2. School of Science, Northeastern University

  • Received:2009-09-02 Online:2011-12-30 Published:2023-04-14
  • About author:WU Li-bing(1980-), male, native of Chaoyang, a lecturer of University of Science and Technology Liaoning, M.S.D., engages in nonlinear function analysis and application; SUN Tao(1959-), male, native of Shenyang, Liaoning, an associate professor of Northeastern University, engages in nonlinear function analysis; HE Xi-qin(1964-), male, native of Huaining, Anhui, a professor of University of Science and Technology Liaoning, Ph.D., engages in modern control theory and nonlinear function analysis.

PDF (PC)

27

摘要： In this paper, it is discussed by using cone and upper and lower solutions mono- tone iterative theory of mixed monotone operator that the bounary value problem is more generalized style to system of equations in the form of -u... v(0) = v(1) = 0 in abstract space. Moreover, it is obtained unique solutions for system of equations and error estimations between approximation iteration sequence and exact solution under more simpler conditions. Therefore, some new results which extend and improve the related known works in the literatures are obtained. 

关键词: systems of equations, bounary value problem, cone, approximation solution

Abstract: In this paper, it is discussed by using cone and upper and lower solutions mono- tone iterative theory of mixed monotone operator that the bounary value problem is more generalized style to system of equations in the form of -u... v(0) = v(1) = 0 in abstract space. Moreover, it is obtained unique solutions for system of equations and error estimations between approximation iteration sequence and exact solution under more simpler conditions. Therefore, some new results which extend and improve the related known works in the literatures are obtained. 

Key words: systems of equations, bounary value problem, cone, approximation solution

中图分类号: 

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn