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带一般微分算子的二阶奇异边值问题的正解

曹文娟 李杰梅

吉林大学学报(理学版)2017,Vol.55Issue(6):1367-1372,6.
吉林大学学报(理学版)2017,Vol.55Issue(6):1367-1372,6.DOI:10.13413/j.cnki.jdxblxb.2017.06.04

带一般微分算子的二阶奇异边值问题的正解

Positive Solution of Second-Order Singular Boundary Value Problem with General Differential Operator

曹文娟 1李杰梅1

作者信息

  • 1. 兰州交通大学 数理学院,兰州 730070
  • 折叠

摘要

Abstract

By using the fixed point theorem of cone expansion and compression,we studied the second-order singular boundary value problem with general differential operator,in which the coefficients of linear differential operator were also allowed to be singular.We obtained the existence result of at least one positive solution under the nonlinearity satisfying either superlinear or sublinear conditions, and gave an example to test the validity of the result.

关键词

/不动点定理/正解/奇异

Key words

cone/fixed point theorem/positive solution/singular

分类

数理科学

引用本文复制引用

曹文娟,李杰梅..带一般微分算子的二阶奇异边值问题的正解[J].吉林大学学报(理学版),2017,55(6):1367-1372,6.

基金项目

甘肃省高校基本科研业务费专项基金(批准号:212084). (批准号:212084)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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