周友明.Banach空间中非线性奇异两点边值问题的多重正解[J].数学研究及应用,2006,26(1):1~8
Banach空间中非线性奇异两点边值问题的多重正解
Multiple Positive Solutions of Nonlinear Singular Two-point Boundary Value Problems in Banach Spaces
投稿时间:2003-10-16  
DOI:10.3770/j.issn:1000-341X.2006.01.001
中文关键词:  奇异边值问题  Banach空间  正解  不动点定理.
英文关键词:singular boundary value problem  Banach space  positive solution  fixed point theorem.
基金项目:
作者单位
周友明 江苏技术师范学院基础部, 江苏 常州213015 
摘要点击次数: 2793
全文下载次数: 2383
中文摘要:
      本文研究Banach空间E中非线性奇异边值问题-x''=f(t,x), t∈(0,1), a1x(0)-a2x'(0)=θ, b1x(0)-b2x'(1)=θ.其中θ是E中的零元素, f({t,x})在端点t=0和t=1处具有奇性. 利用不动点定理获得了该问题至少有两个正解的结果.
英文摘要:
      In this paper , we study the nonlinear singular boundary value problems in Banach spaces: -x''=f(t,x), t∈(0,1), a1x(0)-a2x'(0)=θ, b1x(0)-b2x'(1)=θ, where θ denotes the zero element of E, E is a real Banach space, and f({t,x}) is allowed to be singular at both end point t=0 and t=1. We show the existence of at least two positive solutions of this problem.
查看全文  查看/发表评论  下载PDF阅读器