期刊文献+

二阶微分方程无穷边值问题的存在性 被引量:3

The Existence of Solutions of Infinite Boundary Value Problems for Second Order Differential Equations
下载PDF
导出
摘要 利用Schauder不动点原理得出[0,+∞)二阶微分方程无穷边值问题正解存在的判定定理. In this paper, by applying the Schsuder fixed point theorem, the existence of solutions of infinite boundary value problems is proved for second order differential equations in Banach space.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2008年第3期25-28,共4页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金(10471075) 山东省自然科学基金(Y2004A06) 教育部科技重点项目(206091)
关键词 不动点动理 边值问题 正解 fixed point theorem boundary value problem positive solution
  • 相关文献

参考文献11

  • 1刘振斌,刘立山.Banach空间中一阶微分方程组的无穷边值问题解的存在性[J].数学学报(中文版),2007,50(1):97-104. 被引量:8
  • 2Erbe L H. On the existence of positive solutions of ordinary differential equations[ J ]. Proc Amer Math Soc, 1994,120: 743-748.
  • 3Zhou Y. The solution extremal value problem for first order differential equation [ J ]. J Sys Sci Math Scis ( in Chinese), 1999, 19 ( 3 ) : 264-267.
  • 4孙彦,徐本龙,刘立山.无穷区间上非线性微分方程单调正解的存在唯一性[J].应用数学学报,2006,29(5):866-871. 被引量:4
  • 5Guo D. Multiple positive solutions for first order nonlinear impulsive integro-differential equations in Banach space[ J]. Appl Math Comput, 2003, 143:233-248.
  • 6Guo D. Lakshmikantham V.. Nonlinear problems in abstract cone[M]. Sandiego:Academic Press, 1988.
  • 7Guo D, Lakshmikantham V, Liu X. Nonlinear integral equations in abstract spaces[ M]. Kluwer Academic Publishers, 1996.
  • 8Li F, Zhang Y. Multiple symmetric nonlinear solutions of second - order ordinary differential equations [ J ]. Appl Math Lett, 2004, 17:261-267.
  • 9郭大钧.非线性分析中的半序方法[M].济南:山东科技出版社,2000..
  • 10郭伟.Ascoli-Arzela定理的一个推广及应用[J].系统科学与数学,2002,22(1):115-122. 被引量:12

二级参考文献20

  • 1孙经先,刘立山.非线性算子方程的迭代求解及其应用[J].数学物理学报(A辑),1993,13(2):141-145. 被引量:109
  • 2张石生,王凡.Banach空间中二阶常微分方程的两点边值问题解的存在性定理[J].应用数学和力学,1996,17(2):95-103. 被引量:20
  • 3郭大钧.非线性分析中的半序方法[M].济南:山东科学技术出版社,2000.18-141.
  • 4Samuel G.Dubé,Angelo B.Mingarelli.Note on a Non-oscillation Theorem of Atkinson.Electronic Journal of Differential Equations,2004,22:1-6
  • 5Wong J S W.Necessary and Sufficient Conditions for Oscillation of Second order Neutral Differential Equations.J.Math.Anal.Appl,2000,252:342-352
  • 6Guo D J.Nonlinear Functional Analysis.Jinan:Science and Technology Press of Shandong,1985
  • 7Yin Z.Monotone Positive Solutions of Second order Nonlinear Differential Equations.Nonlinear Analysis,2003,54:391-403
  • 8Hale J K,Onuchic N.On the Asymptotic Behavior of Solutions of a Class of Differential Equations.Contrib.Differential Equations,1963,2:61-75
  • 9Mustafa O G,Rogovchenko Y V.Global Existence of Solutions with Prescribed Asymptotic Behavior for Second-order Nonlinear Differential Equations.Nonlinear Anal,2002,51:339-368
  • 10Wahlén E.Positive Solutions of Second-order Differential Equations.Nonlinear Anal,2004,58:359-366

共引文献104

同被引文献10

引证文献3

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部