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n阶边值问题的两个及多个正解
引用本文:郝妍,关洪岩.n阶边值问题的两个及多个正解[J].太原师范学院学报(自然科学版),2007,6(3):108-110.
作者姓名:郝妍  关洪岩
作者单位:沈阳师范大学,数学与系统科学学院,辽宁,沈阳,110034
摘    要:通过使用Krasnoselskii锥不动点定理,研究一类带有特征值和两点边值条件的n阶常微分方程的多个正解的存在性,并给出此方程的2个,3个及n个正解的存在性定理。

关 键 词:n阶  边值问题  正解
文章编号:1672-2027(2007)03-0108-03
修稿时间:2007-05-20

Two and Multiple Positive Solutions for-order Boundary Value Problems
Hao Yan,Guan Hongyan.Two and Multiple Positive Solutions for-order Boundary Value Problems[J].Journal of Taiyuan Normal University:Natural Science Edition,2007,6(3):108-110.
Authors:Hao Yan  Guan Hongyan
Institution:School of Mathesmatics and System Science, Shenyang Normal Univercity, Shenyang 110034,China
Abstract:By using the Krasnoselskii fixed point theorem, we study the existence of multiple positive solutions of the n-order ordinary differential equations with eigenvalues problem and two-point boundary value problem,and we obtain the existence theorems of two,three and n positive solutions of the equations.
Keywords:n-order  boundary value problem  positive solutions
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