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| 一类三点半正边值问题的正解 | |
| 引用本文： | 徐云滨,董媛媛.一类三点半正边值问题的正解[J].榆林高等专科学校学报,2009,19(2):33-35. |
| 作者姓名： | 徐云滨 董媛媛 |
| 作者单位： | 榆林学院,数学与应用数学系,陕西,榆林,719000 |
| 摘 要： | 对二阶三点半正边值问题
{（P（t）u′（t）））′＋λf（t,u）=0,0〈t〈1
P（0）u′（0）=0,u（1）=ku（η）
进行了研究不要求非线性项连续且下方有界，在满足Carathéodory条件下，对充分小的存在正解，应用的工具为锥上的不动点定理。 |
| 关 键 词： | 半正边值问题 正解 锥 |
Positive Solution of a class of Three-point Semi-positone Boundary Value Problem |
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| XU Yun-bin,DONG Yuan-yuan.Positive Solution of a class of Three-point Semi-positone Boundary Value Problem[J].Journal of Yulin College,2009,19(2):33-35. | |
| Authors: | XU Yun-bin DONG Yuan-yuan |
| Institution: | XU Yun - bin, DONG Yuan - yuan ( Department of Mathematics and Applied Mathematics, Yulin University, Yulin 719000, Shaanxi) |
| Abstract: | In the paper, by using a fixed point theorems in cones, a class of second order three - point semi - positone boundary value problem was studied as following： {（P（t）u′（t）））′＋λf（t,u）=0,0〈t〈1 P（0）u′（0）=0,u（1）=ku（η） If nonlinearity satisfies Carathéodory＇s conditions, the above boundary value problem has a positive solution for sufficiently small where it doesnt require to be continuous and to have lower bound. |
| Keywords: | semi- positone boundary value problem positive solutions cones |
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