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| 二阶三点半正边值问题正解的存在性 | |
| 引用本文： | 张新光,孙永平,王秀芹.二阶三点半正边值问题正解的存在性[J].数学研究,2004,37(2):123-128. |
| 作者姓名： | 张新光 孙永平 王秀芹 |
| 作者单位： | 1. 曲阜师范大学数学系,山东,曲阜,273165 2. 杭州电视广播大学,浙江,杭州,310012 3. 沂水建委,山东,沂水,276400 |
| 基金项目： | the Natural Science Foundation of Shandong Province ofChina (Z2 0 0 0 A0 2 ) (Y2 0 0 1A0 3) (0 2 BS119) |
| 摘 要： | 利用锥的Krasnosel'skill不动点定理建立了二阶三点半正边值问题u″+λf(t,u)+δg(t,u)=0,
t∈(0,1),u(0)=0, αu(η)=u(1).其中,λ,δ＞0, 0＜η＜1, 0＜αη＜1正解的存在性,这里,非线性项不需要是非负的. |
| 关 键 词： | 三点边值问题 正解 半正 不动点 锥 |
Existence Result for Semipositone Second-Order Three-Point Boundary Value Problem |
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| Abstract.Existence Result for Semipositone Second-Order Three-Point Boundary Value Problem[J].Journal of Mathematical Study,2004,37(2):123-128. | |
| Authors: | Abstract |
| Abstract: | In the paper, we establish the existence of positive solutions of the semipositone second-order three-point boundary value problems u″+λf(t,u)+δg(t,u)=0, u(0)=0, αu(η)=u(1), where λ＞0, 0＜η＜1, 0＜αη＜1, Our approach is based on the Krasnosel'skii fixed point theorem in cones. Here, the nonlinear term need not be nonnegative. |
| Keywords: | Three-point boundary value problem Positive solution Semipositone Fixed point Cone |
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