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| 一类奇异三阶三点边值问题的正解 | |
| 引用本文： | 吴红萍. 一类奇异三阶三点边值问题的正解[J]. 数学研究及应用, 2011, 31(2): 287-294. DOI: 10.3770/j.issn:1000-341X.2011.02.012 |
| 作者姓名： | 吴红萍 |
| 作者单位： | 西北师范大学数学与信息科学学院, 甘肃 兰州 730070 |
| 基金项目： | 国家自然科学基金(Grant No.10871160). |
| 摘 要： | In this paper,we study the existence of positive solutions for the nonlinear singular third-order three-point boundary value problemu （t） = λa（t）f（t,u（t））,u（0） = u （1） = u （η） = 0,where λ is a positive parameter and 0 ≤ η 1 2 .By using the classical Krasnosel’skii’s fixed point theorem in cone,we obtain various new results on the existence of positive solution,and the solution is strictly increasing.Finally we give an example. |
| 关 键 词： | positive solutions singular third-order three-point BVP fixed point theorem |
| 收稿时间： | 2009-04-10 |
| 修稿时间： | 2010-01-18 |
Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem |
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| Hong Ping WU. Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem[J]. Journal of Mathematical Research with Applications, 2011, 31(2): 287-294. DOI: 10.3770/j.issn:1000-341X.2011.02.012 | |
| Authors: | Hong Ping WU |
| Affiliation: | College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, P. R. China |
| Abstract: | In this paper, we study the existence of positive solutions for the nonlinear singular third-order three-point boundary value problem $$left{begin{array}{l}u'(t)=-lambda a(t)f(t,u(t)), u(0)=u'(1)=u'(eta)=0,end{array}right.$$ where $lambda $ is a positive parameter and $0leeta |
| Keywords: | positive solutions singular third-order three-point BVP fixed point theorem. |
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