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几类特定边界值条件下的常微分方程特征值问题
引用本文:张建军,贾永录,肖辞源.几类特定边界值条件下的常微分方程特征值问题[J].大学数学,2007,23(4):104-108.
作者姓名:张建军  贾永录  肖辞源
作者单位:西南石油大学,理学院,成都,610500;西南石油大学,石油工程学院,成都,610500
摘    要:在文献1]的基础上,借助于图形分析方法,讨论了几类特定边界值条件下的特征值问题.同时,本文对文献1]中的错误结论作出了更正.本文给出的方法对讨论非线性边值问题的可解性提供了一种新的途径.

关 键 词:边界值条件  特征值问题  平凡解
文章编号:1672-1454(2007)04-0104-05
修稿时间:2005-11-01

Eigenvalue Problems for Ordinary Differetial Equations with Specific Boundary Conditions
ZHANG Jian-jun,JIA Yong-lu,XIAO Ci-yuan.Eigenvalue Problems for Ordinary Differetial Equations with Specific Boundary Conditions[J].College Mathematics,2007,23(4):104-108.
Authors:ZHANG Jian-jun  JIA Yong-lu  XIAO Ci-yuan
Institution:1. College of Science, Southwest Petroleum University, Chengdu, Siehuan 610500, China; 2. College of Petroleum Engineering, Southwest Petroleum University, Chengdu, Siehuan 610500, China
Abstract:Based on the literature1],this paper discussed the Eigenvalue problems for ordinary differetial equations with several specific boundary value conditions through the methods of the graphical analyse.Meanwhile, author corrected the false in the conclusion of literature1].Author's method provided a new approach for discussing the solvability of a nonlinear boundary value problem.
Keywords:boundary value condition  eigenvalue problems  zero solution
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