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一类四阶奇异非线性积分边值问题正解的存在性 被引量：1

Existence of Positive Solutions for a Class of Fourth-Order Singular Nonlinear Integral Boundary Value Problems
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摘要 研究一类四阶奇异非线性积分边值问题正解的存在性问题.利用锥压缩锥拉伸不动点定理及一些分析技巧,建立该边值问题存在一个及多个正解的一些新结果.所得结果推广并改进了先前的相关结果. We study the problem on the existence of positive solutions for a class of fourth-order singular nonlinear integral boundary value problem. By employing the fixed point theorem in cones and some analytical skills, we obtain some new results on the existence of one or multiple positive solutions for the boundary value problems. Our results extend and improve some previous results.
作者 王全义 邹黄辉
机构地区 华侨大学数学科学学院
出处 《华侨大学学报（自然科学版）》 CAS 北大核心 2014年第1期112-116,共5页 Journal of Huaqiao University(Natural Science)
基金 国家自然科学基金数学天元基金资助项目(11226145)
关键词 锥 正解 非线性积分边值问题 不动点定理 cone positive solution nonlinear integral boundary value problem fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献10

  • 1邹黄辉,王全义.一类四阶微分方程积分边值问题正解的存在性[J].华侨大学学报（自然科学版）,2011,32(6):699-704. 被引量：4
  • 2张兴秋.奇异四阶积分边值问题正解的存在唯一性[J].应用数学学报,2010,33(1):38-50. 被引量：6
  • 3Ruyun Ma,Ling Xu.Existence of positive solutions of a nonlinear fourth-order boundary value problem[J].Applied Mathematics Letters.2010(5)
  • 4Lingju Kong.Second order singular boundary value problems with integral boundary conditions[J].Nonlinear Analysis.2009(5)
  • 5Xuemei Zhang,Weigao Ge.Positive solutions for a class of boundary-value problems with integral boundary conditions[J].Computers and Mathematics with Applications.2009(2)
  • 6Ruyun Ma,Jia Xu.Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem[J].Nonlinear Analysis.2009(1)
  • 7Yujun Cui,Yumei Zou.Existence and uniqueness theorems for fourth-order singular boundary value problems[J].Computers and Mathematics with Applications.2009(7)
  • 8Huili Ma.Symmetric positive solutions for nonlocal boundary value problems of fourth order[J].Nonlinear Analysis.2007(3)
  • 9B. Liu.Positive solutions of fourth-order two point boundary value problems[J].Applied Mathematics and Computation.2002(2)
  • 10Chaitan P. Gupta.Existence and uniqueness theorems for the bending of an elastic beam equation[J].Applicable Analysis.1988(4)

二级参考文献27

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华侨大学学报（自然科学版）
2014年 第1期

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