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王静, 王刚；. 一类变号二阶三点边值问题正解的存在性[J]. 信阳师范学院学报(自然科学版), 2013, 26(2): 165-168. DOI: 10.3969/j.issn.1003-0972.2013.02.003
引用本文: 王静, 王刚；. 一类变号二阶三点边值问题正解的存在性[J]. 信阳师范学院学报(自然科学版), 2013, 26(2): 165-168. DOI: 10.3969/j.issn.1003-0972.2013.02.003
shu
Wang Jing , Wang Gang. The Existence of Positive Solutions for a Kind of Second-order Three-point Boundary Value Problem wi[J]. Journal of Xinyang Normal University (Natural Science Edition), 2013, 26(2): 165-168. DOI: 10.3969/j.issn.1003-0972.2013.02.003
Citation: Wang Jing , Wang Gang. The Existence of Positive Solutions for a Kind of Second-order Three-point Boundary Value Problem wi[J]. Journal of Xinyang Normal University (Natural Science Edition), 2013, 26(2): 165-168. DOI: 10.3969/j.issn.1003-0972.2013.02.003
shu

一类变号二阶三点边值问题正解的存在性

The Existence of Positive Solutions for a Kind of Second-order Three-point Boundary Value Problem wi

    摘要
  • 摘要: 运用锥上的Guo-Krasnoselskii’s不动点定理证明了变号二阶三点边值问题u″+h(t)f(u(t))=0,t∈0,1,u(0)=αu(η),u(1)=βu(η)至少一个正解的存在性

     

    Abstract: The existence of at least one positive solution for a knind of secondorder threepoint boundary value problem u″+h(t)f(u(t))=0,t∈［0,1］,u(0)=αu(η),u(1)=βu(η)was investigated by the wellknown  GuoKrasnoselskii’s fixedpoint theorem in cones.

     

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