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一类二阶常微分方程两点边值问题多个正解的存在性 被引量：1

Existence of multiple positive solutions for a class of second-order ordinary differential equations in two-point boundary value problem
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摘要 运用Krasnoselskii不动点定理,讨论一类二阶常微分方程两点边值问题正解的存在性.所得结果涵盖参数的所有取值范围,因此更具有一般性. Krasnoselskii fixed point theorem was used to study the existence of multiple positive solutions for a class of second-order ordinary differential equations in two-point boundary value problem.The result obtained would cover all value assignment range of parameters,so that it would be more general.
作者 安乐
机构地区 天水师范学院
出处 《兰州理工大学学报》 CAS 北大核心 2010年第2期157-160,共4页 Journal of Lanzhou University of Technology
关键词 二阶常微分方程 正解 存在性 KRASNOSELSKII不动点定理 second-order ordinary differential equation positive solutions existence Krasnoselskii fixed-point theorem
分类号 O175.7 [理学—基础数学]
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参考文献9

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同被引文献6

  • 1BAI Zhanbing, DU Zengjin. Positive solutions for some second-order four-point boundary value problems [ J ]. Journal of Mathematical Analysis and Applications ,2007,330( 1 ) : 34-50.
  • 2MA Ruyun. Existence of positive solutions for superlinear semipositone m-point boundary value problems [ J ]. Proceedings of the Edinburgh Mathematical Society,2003,46 ( 13 ) :279-292.
  • 3MA Ruyun. Positive solutions for a nonlinear three-point boundary value problem [ J ]. Electronic Journal of Differetial Equatios, 1998,34 (6) : 1-8.
  • 4HAO Xinan, LIU Lishan,WU Yonghong. On positive solutions of an ram-point nonhomogeneous singular boundary value problem [ J ]. Nonlinear Analysis : Theory, Methods and Applications, 2010,73 ( 8 ) :2532-2540.
  • 5SMAIL Djebali, KARIMA Mebarki. Multiple positive solutions for singular multi-point boundary-value problem with general growth on the positive half line[ J]. Electronic Journal of Differential Equations,2011 (32) :1-29.
  • 6张海波.一类四阶非线性常微分方程两点边值问题三重正解的存在性[J].吉林化工学院学报,2012,29(11):156-162. 被引量：2

引证文献1

兰州理工大学学报
2010年 第2期

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