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一类滞后型四阶泛函微分方程边值问题的正解 被引量:1

POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM OF FOURTH-ORDER FUNCTIONAL DIFFERENTIAL EQUATION
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摘要 利用锥上不动点原理证明了一个四阶泛函微分方程边值问题正解的存在性. A fixed point theorem in cones is used to prove the existence of positive solution for a fourth-order boundary value problem of a functional differential equation.
作者 杨雯抒
机构地区 嘉应学院数学系
出处 《华南师范大学学报(自然科学版)》 CAS 2004年第1期32-36,48,共6页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金资助项目(011471)
关键词 滞后型四阶泛函微分方程 边值问题 正解 BANACH空间 functional differential equation boundary value problem positive solution
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参考文献3

  • 1吴红萍.一类四阶奇异非线性边值问题的正解[J].山西大学学报(自然科学版),2001,24(4):286-288. 被引量:1
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  • 3WENG Pei- xuan, JIANG Da- qing, Existence of positive solutions for boundary value problem of second- order FDE [J]. Computers and Mathematics with Applications, 1999,37:1 -9.

二级参考文献4

同被引文献6

  • 1李永祥.抽象半线性发展方程初值问题解的存在性[J].数学学报(中文版),2005,48(6):1089-1094. 被引量:66
  • 2LI Yongxiang. On the existence of positive solutions for the bending elastic beam equations[ J]. Appl Math Comput, 2007, 189:821 -827.
  • 3LI Yongxiang. Two- parameters nonresonance condition of forth - order boundary value problems [ J ]. J Math A- nal Appl, 2005, 308 : 121 - 128.
  • 4GUO Dajun, LAKSHMIKANTHAM V. Multiple solutions of two - point boundary value problems of ordinary differential equations in Banach spaces [ J ]. J Math Anal Appl, 1988, 129:211 -222.
  • 5HEINZ H P. On the behavior of measure of noncompact-ness with respect to differential and integration of vector - value functions [J]. Nonlinear Anal, 1983, 7:1351 - 1371.
  • 6翁佩萱.四阶泛函微分方程边值问题的上下解方法[J].华南师范大学学报(自然科学版),2000,32(3):1-6. 被引量:7

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