Three symmetric positive solutions of fourth-order singular nonlocal boundary value problems

Three symmetric positive solutions of fourth-order singular nonlocal boundary value problems
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DOI:
10.14232/ejqtde.2011.1.96
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发表时间:
2011
影响因子:
1.1
通讯作者:
Fuyi Xu
Fuyi Xu
中科院分区:
数学3区
文献类型:
--
作者:
Fuyi Xu

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本文研究了四阶奇异非局部边值问题三个正解的存在性。利用Leggett-Williams不动点定理证明了该方程存在三重对称正解。本文的结论本质上推广和改进了某些已知结果。MSC:34B16。
In this paper, we study the existence of three positive solutions for fourth-order singular nonlocal boundary value problems. We show that there exist triple symmetric positive solutions by using Leggett-Williams fixed-point theorem. The conclusions in this paper essentially extend and improve some known results. MSC: 34B16.