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一类四阶微分方程积分边值问题正解的存在性 被引量：4

Existence of Positive Solutions for a Class of Fourth-Order Differential Equations with Integral Boundary Value Problem
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摘要 利用锥压缩锥拉伸不动点定理及一些分析技巧,建立一类四阶非线性微分方程的积分边值问题存在一个及多个正解的充分条件,推广和改进ZHANG Xue-mei等人的研究结果. By employing the cone compression and the extension fixed point theorem and some analytical skills, we establish the sufficient conditions for the existence of one and multiple positive solutions for nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions, our results generalize and improve ZHANG Xuemei et al＇s results.
作者 邹黄辉 王全义
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 2011年第6期699-704,共6页 Journal of Huaqiao University(Natural Science)
基金 国务院侨办科研基金资助项目(09QZR10)
关键词 锥 正解 积分边值问题 微分方程 不动点理论 cone positive solutions integral boundary value problem differential equations fixed point theorem
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献13

  • 1ZHANG Xue-mei,GE Wei-gao. Positive solutions for a class of boundary-value problems with integral boundary conditions[J]. Computers and Mathematics with Applications, 2009,58 (2) : 203-215.
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二级参考文献29

  • 1张建国,张福伟,刘进生.一类四阶方程边值问题正解的存在性与多重性[J].工程数学学报,2005,22(5):864-868. 被引量：6
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共引文献14

同被引文献29

  • 1李迈龙.一类四阶微分方程三点边值问题的正解[J].四川师范大学学报（自然科学版）,2005,28(5):556-559. 被引量：3
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  • 4Feng M Q, Ji D H, GE W G. Positive solutions for a class of boundary value problem with integral boundary conditions in Banach spaces[J]. J Comput Appl Math ,2008,222(2):351-363.
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  • 7刘进生,张会智,杨志辉.非线性三阶边值问题反对称变号解的无穷可解性[J].数学的实践与认识,2007,37(23):149-153. 被引量：3
  • 8B. Abdelkader. Second - Order boundary value problems with in- tesnd boundary conditions[ J]. Nonlinear Analysis, 2009,70:365 - 371.
  • 9M. Q. Feng, D. H. Ji, W. G. C,e. Positive solutions for a class of boundary - value problem with integral boundary conditions in bo- nach spaces[J]. J. Comput. Appl. Math. ,2008,222:351 -363.
  • 10郭大钧.非线性泛函分析[M].(第二版).济南:山东科学技术出版社,2003.

引证文献4

二级引证文献2

华侨大学学报（自然科学版）
2011年 第6期

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