吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (4): 737-742.

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一类不定权弹性梁方程的正解

杨丽娟   

  1. 西北师范大学 数学与统计学院, 兰州 730070
  • 收稿日期:2020-12-10 出版日期:2021-07-26 发布日期:2021-07-26
  • 通讯作者: 杨丽娟 E-mail:18419068954@163.com

Positive Solutions for a Class of  Elastic Beam Equations with Indefinite Weights

YANG Lijuan   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2020-12-10 Online:2021-07-26 Published:2021-07-26

摘要: 用Leray-Schauder不动点定理, 讨论两端简单支撑弹性梁方程正解的存在性.

关键词: 四阶方程, 不定权, 正解, Leray-Schauder不动点定理

Abstract: By using Leray-Schauder fixed point theorem, the author discusses the existence of positive solutions for the elastic beam equations simply supported at both ends.

Key words: fourth-order equation, indefinite weight, positive solution, Leray-Schauder fixed point theorem

中图分类号: 

  • O175.8