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一类四阶奇异边值问题对称正解的最优存在性

张艳红

数学杂志2016,Vol.36Issue(6):1209-1214,6.
数学杂志2016,Vol.36Issue(6):1209-1214,6.

一类四阶奇异边值问题对称正解的最优存在性

OPTIMAL EXISTENCE OF SYMMETRIC POSITIVE SOLUTIONS FOR A FOURTH-ORDER SINGULAR BOUNDARY VALUE PROBLEM

张艳红1

作者信息

  • 1. 福州大学数学与计算机科学学院,福建福州 350108
  • 折叠

摘要

Abstract

In this paper, we study a fourth-order singular boundary value problem. Using the Leggett-Williams fixed point theorem together with constructing a special cone, we establish optimal existence of symmetric positive solutions for a fourth-order singular boundary value problem under certain conditions, which generalizes optimal existence of symmetric positive solutions to singular boundary value problem.

关键词

对称正解/边值问题/

Key words

symmetric positive solutions/boundary value problem/cone

分类

数理科学

引用本文复制引用

张艳红..一类四阶奇异边值问题对称正解的最优存在性[J].数学杂志,2016,36(6):1209-1214,6.

基金项目

Supported by the Science and Technology Development Fund of Fuzhou Uni-versity (2014-XQ-30) (2014-XQ-30)

数学杂志

OA北大核心CSTPCD

0255-7797

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