| 摘要: |
| 利用Leggett-Williams不动点定理,并赋予f一定的增长条件,证明了二阶微分方程多点边值问题u″ f(t,u)=0 0≤t≤1u(0)=0 u(1)-∑m-2i=1kiu′(ξi)=0至少存在3个正解,其中f:[0,1]×[0,∞)→[0,∞)是连续的,0<ξ1<ξ2<…<ξm-2<1。同时给出了该边值问题相应的Green函数。 |
| 关键词: Leggett-Williams,不动点定理,锥,正解,多点边值问题 |
| DOI：10.11841/j.issn.1007-4333.2006.03.077 |
| 投稿时间：2005-12-05 |
| 基金项目:国家自然科学基金资助项目(10371030,60573158)，河北省自然科学基金资助项目(A2006000298) |
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| Existence of multiple positive solution for a second-order multiple-point boundary value problem system |
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| Abstract: |
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| Key words: Leggett-Williams fixed point theorem,cone,positive solution,multiple-point boundary value problem(system) |
