| 变系数三阶周期边值问题的正解 |
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| 引用本文： | 姚庆六. 变系数三阶周期边值问题的正解[J]. 吉首大学学报(自然科学版), 2010, 31(6): 9-13 |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | (南京财经大学应用数学系,江苏 南京 210003) |
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| 基金项目： | National Natural Science Foundation of China |
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| 摘 要： | 研究了变系数非线性三阶周期边值问题的正解.非线性项可以关于空间变元奇异.利用适当的变换此问题被转换为一个Hammerstein积分方程,利用锥上的 Guo-Krasno-sel'ski 不动点定理获得了1~2个正解的存在性.
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| 关 键 词： | 周期边值问题 正解 锥上的不动点定理 |
Positive Solutions of Third-Order Periodic Boundary Value Problems with Variable Coefficient |
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| YAO Qing-liu. Positive Solutions of Third-Order Periodic Boundary Value Problems with Variable Coefficient[J]. Journal of Jishou University(Natural Science Edition), 2010, 31(6): 9-13 |
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| Authors: | YAO Qing-liu |
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| Affiliation: | （Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China） |
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| Abstract: | The positive solutions of a nonlinear third-order periodic boundary value problem with variable coefficient are studied.The nonlinear term may be singular with respect to the space variable.By making use of suitable transformation,the problem is transformed into a Hammerstein integral equation.By applying Guo-Krasnosel'skii fixed point theorem on cone,the existence of one and two po sitive solutions is proved. |
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| Keywords: | periodic boundary value problem positive solution fixed point theorem on cone |
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