| 四阶超线性奇异微分方程正解存在的充分必要条件 |
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| 引用本文： | 王玉霞,刘希玉. 四阶超线性奇异微分方程正解存在的充分必要条件[J]. 山东师范大学学报(自然科学版), 2009, 24(1): 18-21 |
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| 作者姓名： | 王玉霞 刘希玉 |
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| 作者单位： | 1. 山东经济学院统计与数学学院,250014,济南
2. 山东师范大学管理与经济学院,250014,济南 |
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| 摘 要： | 利用范数形式的锥拉伸与压缩不动点定理，对一类四阶奇异超线性微分方程边值问题作了研究，得到了C^2[0，1]正解与C^3[0，1]正解存在的充分必要条件．
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| 关 键 词： | 奇异边值问题 超线性 正解 |
NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF POSITIVE SOLUTIONS OF FOURTH ORDER SINGULAR SUPERLINEAR DIFFERENTIAL EQUATIONS |
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| Wang Yuxia,Liu Xiyu. NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF POSITIVE SOLUTIONS OF FOURTH ORDER SINGULAR SUPERLINEAR DIFFERENTIAL EQUATIONS[J]. Journal of Shandong Normal University(Natural Science), 2009, 24(1): 18-21 |
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| Authors: | Wang Yuxia Liu Xiyu |
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| Affiliation: | Wang Yuxia, Liu Xiyu ( 1 School of Mathematics and Statistics, Shandong Institute of Economics,250014, Jinan, China; 2 School of Management and Economics, Shandong Normal University, 250014, Jinan, China ) |
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| Abstract: | We investigate a class of fourth order singular superlinear boundary value problems. A necessary and sufficient condition for the existence of C^2 [0, 1 ] positive solutions as well as C^3 [0,1 ] positive solutions is given by using fixed point theorem of cone expansion of norm type. |
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| Keywords: | singular boundary value problems superlinearity positive solutions |
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