| 二阶隐积分微分方程的周期边值问题 |
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| 引用本文： | 陈丽华. 二阶隐积分微分方程的周期边值问题[J]. 福建师大福清分校学报, 2004, 0(2): 1-2,8 |
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| 作者姓名： | 陈丽华 |
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| 作者单位： | 福建师范大学福清分校数学与计算机科学系,福建福清,350300 |
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| 摘 要： | 研究一类二阶隐积分微分方程的周期边值问题,首先将方程转化为算子方程,然后对算子方程应用广义迭代法证得算子方程极解的存在性和单调性,从而证得周期边值问题极解的存在性和单调性.
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| 关 键 词： | 隐积分微分方程 算子方程 周期边值问题 广义迭代法 |
| 文章编号： | 1008-3421(2004)02-0001-02 |
| 修稿时间： | 2003-12-04 |
On Periodic Boundary Value Problems of Second Order Implicit Integro-differential Equation |
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| CHEN Lihua. On Periodic Boundary Value Problems of Second Order Implicit Integro-differential Equation[J]. Journal of Fuqing Branch of Fujian Normal University, 2004, 0(2): 1-2,8 |
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| Authors: | CHEN Lihua |
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| Abstract: | In this paper,we study the periodic boundary value problems for a class of second order implicit integro-differential equation.First,the equations are transformed into a operator equation,then we prove the existence and monotonicity of extremal solution of operator equation by generalized iteration method,and obtain the existence and monotonicity of extremal solution of the periodic boundary value problem. |
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| Keywords: | implicit integro-differential equation operator equation periodic boundary value problem generalized iteration method |
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