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一类非线性四阶三点边值问题的可解性

姚庆六   

  1. 南京财经大学应用数学系, 江苏南京210003
  • 收稿日期:2005-03-02 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
  • 通讯作者: 姚庆六

Solvability of a class of nonlinear fourth-order three-point boundary value problems

YAO Qing-liu   

  1. Dept.of Appl.Math., Nanjing University of Finance and Economics, Nanjing 210003, Jiangsu, China
  • Received:2005-03-02 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: YAO Qing-liu

摘要： 考察了一类非线性项含有一阶、二阶和三阶导数的四阶三点边值问题的解和正解. 通过构造适当的Banach空间并且利用相应的积分方程建立了两个存在定理. 主要工具是LeraySchauder不动点定理.

Abstract: The solution and positive solution were considered for a class of fourth-order three-point boundary value problems whose nonlinear term contains first, second and third derivatives. By constructing suitable Banach space and applying corresponding integral equation, two existence theorems were established. The main ingredient is the LeraySchauder fixed point theorem

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