| 高阶积分微分方程的周期边值问题 |
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| 引用本文： | 蔡建平. 高阶积分微分方程的周期边值问题[J]. 纯粹数学与应用数学, 1999, 15(1): 78-81,67 |
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| 作者姓名： | 蔡建平 |
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| 作者单位： | 福建漳州师范学院数学系,漳州,363000 |
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| 摘 要： | 研究一类高阶积分微分方程的周期边值问题，利用上下解和单调迭代法证得最大解和最小解的存在性。
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| 关 键 词： | 周期边值问题 积分微分方程 最大解 最小解 |
PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHer ORDER INTEGRO-DIFFERENTIAL EQUATIONS' |
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| Cai Jianping. PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHer ORDER INTEGRO-DIFFERENTIAL EQUATIONS'[J]. Pure and Applied Mathematics, 1999, 15(1): 78-81,67 |
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| Authors: | Cai Jianping |
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| Affiliation: | Cai Jianping(Dept. Of Math. ,Zhangzhou Teachers College ,Zhangzhou, 363000) |
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| Abstract: | This paper deals with the periodic boundary value problems for a class of higher order integro differential equations.By means of upper and lower solutions and monotone iterative method,the existence of maximal and minimal solutions is obtained. |
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| Keywords: | periodic boundary value problem integro-differential equation maximal solution minimal solution |
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