摘 要:
利用不动点指数定理研究了一类二阶非线性常微分方程的三点边值问题正解的存在性问题,得到了至少存在一个或无穷多个正解的几个充分条件.[著者文摘]
文章出处:
《高校应用数学学报:A辑》-2007年22卷4期 -441-446页
Applied Mathematics A Journal of Chinese Universities
分 类 号:
文献标识码:
A
文章编号:
1000-4424(2007)04-0441-06
Existence of positive solutions for a second-order three-point boundary value problem
LI Shu-hong ( Dept. of Adult Edu., Lishui College, Lishui 323000, China; Dept. of Appl. Math., Zhejiang Sci-Tech Univ., Hangzhou 310018, China)
Abstract:
In this paper, the existence of multiple positive solutions for a second-order threepoint boundary value problem is investigated. By using the fixed point index theorem, several sufficient conditions for the existence of at least one or infinte positive solutions are obtained.[著者文摘]
Key words:
three-point boundary value problem; fixed point index; positive solution; existence
收稿日期: 2006-06-06
基金资助:
浙江省高校重点学科资金(2005);浙江省自然科学基金(Y605144)

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