Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (2): 87-93.

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Existence of Positive Solutions for Nonlinear Conjugate Boundary Value Problems 

  

  1. 商丘师范学院计算机科学系商丘师范学院数学系 河南商丘476000 
  • Received:2001-01-20 Online:2002-06-30 Published:2024-05-09
  • About author:JIAN Dian-bing(1963-),male,native of Yongcheng,Henan,a lecturer of Shangqiu Teacher’s College‚engages in differential equation;DONG Zheng-hua(1957-),male,native of Shangqiu,Henan,a lecturer of Shangqiu Teacher’s College,engages in differential equation.

Abstract: 本文讨论了 (k ,n-k)共轭边值问题( - 1 ) n-ku(h) (t) =λa(t) f(u(t) ) ,t∈ ( 0 ,1 ) ,u(i) ( 0 ) =0 ,0 ≤i≤k- 1 ,u( j) ( 0 ) =0 ,0≤ j≤n-k- 1 ,的正解存在性 ,其中λ是一个正参数。应用Krasnoselsii’s的不动点定理得到了正解存在准则。

Key words: 存在定理, 正解, 共轭边值问题,  ,

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