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偶数阶微分方程边值问题的上下解方法

王刚 朱思念

黑龙江科技学院学报2011,Vol.21Issue(2):157-160,4.
黑龙江科技学院学报2011,Vol.21Issue(2):157-160,4.

偶数阶微分方程边值问题的上下解方法

Method of lower and upper solutions for even-order boundary value problems

王刚 1朱思念1

作者信息

  • 1. 中国矿业大学,理学院,江苏,徐州,221008
  • 折叠

摘要

Abstract

Aimed at the solution to higher differential equation in practical application, this paper discusses the existence of solutions of two-point boundary value problem of a class of even order differential equation and describes the use of the method of upper and lower solutions to convert the 2n -order differential equation into second order integral-differential equation to obtain the existence theorems of solutions, along with the extension of the known results of fourth-order two-point boundary value problem in the form.

关键词

微分方程/上下解方法/边值问题/存在性

Key words

differential equation/ method of lower and upper solutions/ boundary value problems/ existence

分类

数学

引用本文复制引用

王刚,朱思念..偶数阶微分方程边值问题的上下解方法[J].黑龙江科技学院学报,2011,21(2):157-160,4.

黑龙江科技学院学报

OACSTPCD

2095-7262

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