| 一类一维p-Laplacian非线性奇异三点边值问题正解的存在性 |
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| 引用本文： | 白杰,祖力. 一类一维p-Laplacian非线性奇异三点边值问题正解的存在性[J]. 吉林大学学报(理学版), 2014, 52(6): 1136-1144 |
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| 作者姓名： | 白杰 祖力 |
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| 作者单位： | 1. 东北师范大学人文学院 国际商务学院, 长春 130117; 2. 海南师范大学 数学与统计学院, 海口 571158 |
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| 摘 要： | 利用Leray-Schauder非线性抉择定理和锥不动点定理证明一类一维非线性奇异p-Laplacian三点边值问题{(Φ(u′))′+q(t)f(u(t))=0,0t1,u(0)=0,u(1)=αu(η),0η1,0α1存在一个正解u∈C[0,1]∩C1(0,1],在(0,1]上u0,其中Φ(s)=s p-2s,p1,允许q(t)在t=0有奇性,并且非线性项f在u=0处具有奇性.
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| 关 键 词： | Leray-Schauder抉择定理 锥不动点定理 非线性奇异三点边值问题 正解的存在性 |
| 收稿时间： | 2014-04-02 |
Existence of Positive Solution for One-Dimensional Singular p-Laplacian Three-Point Boundary Value Problems |
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| BAI Jie,ZU Li. Existence of Positive Solution for One-Dimensional Singular p-Laplacian Three-Point Boundary Value Problems[J]. Journal of Jilin University: Sci Ed, 2014, 52(6): 1136-1144 |
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| Authors: | BAI Jie ZU Li |
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| Affiliation: | 1. School of International Business, College of Humanities and Sciences of Northeast Normal University,Changchun 130117, China; 2. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China |
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| Abstract: | |
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| Keywords: | Leray-Schauder alternative theorem fixed point theorem in cones nonlinear singular three-point boundary value problem existence of positive solution |
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