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一类二阶非局部边值问题的正解 被引量:1

Positive solution of second-order nonlocal boundary problem
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摘要 讨论了一类二阶微分方程a.e.,在非局部边值条件下的解,利用Krasnoselskii不动点定理给出了其至少存在一个正解的条件. This paper studies the ordinary differential equation with the nonlocal boundary conditions by applying Krasnoselskii fixed-point theorem in a cone,it gives conditions for the boundary-value problem has one positive solution.
作者 张晓燕
机构地区 华中科技大学
出处 《湖北师范学院学报(自然科学版)》 2007年第1期28-30,共3页 Journal of Hubei Normal University(Natural Science)
关键词 非局部 边值问题 正解 KRASNOSELSKII不动点定理 nonlocal boundary-value problems positive solutions Krasnoselskii fixed point theorem
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参考文献3

  • 1Krasnoselskii M A.Pozitive Solutions of Operator Equations[M].Groningen:Noordhoft,1964. 被引量:1
  • 2Chu Jifeng,Zhou Zhongcheng.Positive solutions and eigenvalues of nonlocal boundary-value problems[J].Electronic Journal of Differential Equations.2005,86:1-9. 被引量:1
  • 3Liu Bing.Positive solutions of second -order three_point boundary value problems with change of sign[J].Computers and Mathematics with Applications.2004,47:1351-1361. 被引量:1

同被引文献2

  • 1Bing Liu. Positive Solutions of Second - Order Three Point Boundary Value Problems with Change of Sign [ J ]. Computers and Mathematics with Applications, 2004(47) :1351 - 1361. 被引量:1
  • 2Jffeng Chu, Zhongeheng Zhou. Positive Solutions and Eigenvalues of nonlocal Boundary - value Problems [J ]. Electronic Journal of Differential Equations, 2005(86) : 1 -9. 被引量:1

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