吉林大学学报(理学版)
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周韶林
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ZHOU Shaolin
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摘要：
分别运用锥上的不动点定理和LeggettWilliams不动点定理讨论Neumann边值问题u″(t)+a(t)u′(t)+b(t)u(t)+f(t,u(t))=0,t∈(0,1),u′(0)=u′(1)=0正解及多个正解的存在性, 其中: a∈C［0,1］; b∈C(［0,1］,(-∞,0));f∈C(［0,1］×［0,+∞),［0,+∞)).
关键词: Neumann边值问题, LeggettWilliams不动点定理, 正解, 存在性
Abstract:
We discussed the existence and multiplicity of the positive solutions of the following Neumann boundary value problems({u″(t)+a(t)u′(t)+b(t)u(t)+ f(t,u(t))=0,t∈(0,1),u′(0)=u′(1)=0,)where a∈C［0,1］, b∈C(［0,1］, (-∞,0)), f∈C(［0,1］×［0,+∞), ［0,+∞)) using fixed point theorem on cones and the LeggettWilliams fixedpoint theorem.
Key words: Neumann boundary value problems, LeggettWilliams fixed point theorem, positive solutions, existence
中图分类号:
周韶林. 一类Neumann边值问题正解的存在性[J]. 吉林大学学报(理学版), 2013, 51(06): 1046-1050.
ZHOU Shaolin. Existence of Positive Solutions of a Classof Neumann Boundary Value Problems[J]. Journal of Jilin University Science Edition, 2013, 51(06): 1046-1050.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2013/V51/I06/1046
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