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一类奇异微分方程无穷边值问题的正无界解 被引量:1

Positive Unbounded Solutions of Infinite Boundary Value Problem for a Class of Singular Differential Equations
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摘要 通过构造一个特殊的锥,利用锥上的不动点定理讨论了一类二阶奇异微分方程无穷边值问题正无界解的存在性. In this paper, by constructing a special cone and using fixed point theorem on cone, the existence of at least one positive unbounded solutions of infinite boundary value problem of a class of singular differential equations is obtained.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2007年第3期15-18,共4页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金资助项目(10471075)
关键词 无穷边值问题 正无界解 infinite boundary value problem cone positive unbounded solution
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参考文献6

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二级参考文献3

  • 1GUO Da-jun. Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space[J]. Applied Mathematics and Computatoin, 1999, 99: 1-15.
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共引文献13

同被引文献5

  • 1倪小虹,葛渭高.半无穷区间二阶微分方程边值问题的多个正解的存在性[J].系统科学与数学,2006,26(1):113-120. 被引量:17
  • 2Liu Y S. Existence and unboundedness of positive solutions for singular boudary value problems on half-line [ J ]. Appl Math Comput,2003, 144 : 543-556.
  • 3Zhang H J, Liu L S, Wu Y H. Positive solutions for nth-order nonlinear impulsive singular integro-differential equations on infinite intervals in Banachspaces [ J]. Nonlinear Anal,2009,70:772-787.
  • 4Leggett R, Williams L. Multiple positive fixed points of nonlinear operators on ordered Banach spaces [ J ]. Indiana University Math J, 1979,28:673-688.
  • 5刘衍胜.无穷区间上二阶微分方程的边值问题[J].应用泛函分析学报,2002,4(3):211-216. 被引量:13

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