| Banach 空间中一阶周期边值问题的广义解 |
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| 引用本文： | 伊继金,桑波.Banach 空间中一阶周期边值问题的广义解[J].数学研究及应用,2010,30(2):345-355. |
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| 作者姓名： | 伊继金 桑波 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252059;聊城大学数学科学学院, 山东 聊城 252059 |
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| 摘 要： | In this paper, the authors study the periodic boundary value problems of a class of nonlinear integro-differential equations of mixed type in Banach space with Carath′eodory's conditions. We arrive at the conclusion of the existence of generalized solutions between general- ized upper and lower solutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone solution sequences in Banach space.
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| 关 键 词： | Banach空间 边界值问题 广义解 周期 一阶 单调迭代 混合型方程 解的存在性 |
| 收稿时间： | 2008/6/16 0:00:00 |
| 修稿时间： | 1/5/2009 12:00:00 AM |
The Generalized Solutions of One Order Periodic Boundary Value Problems in Banach Space |
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| Ji Jin YI and Bo SANG.The Generalized Solutions of One Order Periodic Boundary Value Problems in Banach Space[J].Journal of Mathematical Research with Applications,2010,30(2):345-355. |
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| Authors: | Ji Jin YI and Bo SANG |
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| Institution: | School of Mathematics,Liaocheng University,Shandong 252059,P.R.China |
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| Abstract: | In this paper, the authors study the periodic boundary value problems of a class of nonlinear integro-differential equations of mixed type in Banach space with Carath\'{e}odory's conditions. We arrive at the conclusion of the existence of generalized solutions between generalized upper and lower solutions, and develop the monotone iterative technique to find generalized extremal solutions as limits of monotone solution sequences in Banach space. |
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| Keywords: | monotone iterative partial ordering generalized solutions normal cone |
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