| 四阶超线性Emden—Fowler奇异边值问题的正解 |
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| 引用本文： | 施乐军. 四阶超线性Emden—Fowler奇异边值问题的正解[J]. 山东建筑工程学院学报, 2001, 16(3): 81-85 |
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| 作者姓名： | 施乐军 |
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| 作者单位： | 烟台教育学院烟台广播电视大学!山东烟台264001 |
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| 摘 要： | 把求解四阶超线性Emden-Fowler微分方程的奇异边值问题转化为求解一非线性积分方程问题，然后利用锥上的不动点定理给出了四阶超线性Emden-Fowler微分方程的奇异边值问题有C^2[0,1]和C^3[0，1]正解存在性。
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| 关 键 词： | 奇异边值问题 正解 不动点定理 |
Positive solutions of singular boundary value problems of fourth order superlinear Emden-Fowler differential equations |
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| SHI Le-jun. Positive solutions of singular boundary value problems of fourth order superlinear Emden-Fowler differential equations[J]. Journal of Shandong Institute of Architecture and Engineering, 2001, 16(3): 81-85 |
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| Authors: | SHI Le-jun |
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| Abstract: | The singular boundary value problems of fourth order superlinear Emden-Fowler differential equations are transformed to a nonlinear integral equation. A surfficient condition for the existence of C 2 positive solution and C 3 positive solutions is given by means of the fixed point theorems on cones. |
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| Keywords: | singular boundary value problem positive solution fixed point theorem cone |
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