| 一类奇异二阶常微分方程的边值问题 |
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| 引用本文： | 刘希玉. 一类奇异二阶常微分方程的边值问题[J]. 山东师范大学学报(自然科学版), 1995, 10(3): 253-256 |
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| 作者姓名： | 刘希玉 |
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| 作者单位： | 山东师范大学数学系 |
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| 摘 要： | 讨论一类奇异二阶常微分方程的边值问题，其中非线性项ｆ（ｔ，ｕ）关于ｔ＝０．１及ｕ＝０有奇异性，而且在ｕ＝０对不同的ｔ有不同的奇异性，本文证明，方程存在正解，而且一部分结果是最优的。
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| 关 键 词： | 边值问题 不动点 正解 常微分方程 |
BOUNDARY VALUE PROBLEMS FOR A KIND OF SINGULAR ORDINARY DIFFERENTIAL EQUATIONS |
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| Liu Xiyu. BOUNDARY VALUE PROBLEMS FOR A KIND OF SINGULAR ORDINARY DIFFERENTIAL EQUATIONS[J]. Journal of Shandong Normal University(Natural Science), 1995, 10(3): 253-256 |
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| Authors: | Liu Xiyu |
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| Abstract: | In this paper,a kind of singular boundary value problems was dealt with wheref(t,u) may be singular at t=0,1, and u=0. The singularity of f(t,u)at u=0 varies with respectto t. positive solution with general boundary conditions is obtained, when the sigularity of f(t,u)at t is greater than 2 and prove parts of the results are optimal. |
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| Keywords: | singular BVP fixed point cone positive solution |
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