数学物理学报 ›› 2003, Vol. 23 ›› Issue (5): 513-519.

• 论文 •    下一篇

三阶常微分方程的某些非线性特征值问题的正解

 姚庆六   

  1. 南京财经大学应用数学系 南京 210003
  • 出版日期:2003-10-25 发布日期:2003-10-25

Positive Solutions to Some Nonlinear Eigenvalue Problems of ThirdOrder Ordinary Differential Equations

 YAO Qing-Liu   

  1. 南京财经大学应用数学系 南京 210003
  • Online:2003-10-25 Published:2003-10-25

摘要:

研究了三阶常微分方程的某些非线性特征值问题. 通过考察非 线性项在有界集上的性质建立了这些问题的正解的存在性与多解性.

关键词: 三阶常微分方程;非线性特征值问题;正解;存在性;多解性.

Abstract:

Some nonlinear eigenvalue problems of third order ordinary differential equations are investigated. By considering the properties of nonlinear terms on bounded sets, the existence and multiplicity of these problems a reestablished.

Key words: Third order ordinary differential equation;Nonlinear eigenvalue problem;Positive solution;Existence;Multiplicity

中图分类号: 

  • 34B15