| 不连续二阶积分-微分方程初值问题的惟一性 |
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| 引用本文： | 梁树霞,宋光兴.不连续二阶积分-微分方程初值问题的惟一性[J].中国石油大学学报(自然科学版),2008,32(5). |
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| 作者姓名： | 梁树霞 宋光兴 |
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| 作者单位： | 中国石油大学,数学与计算科学学院,山东,东营,257061 |
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| 摘 要： | 在一般序Banach空间中研究了含导数的不连续二阶积分-微分方程初值问题解的存在惟一性，并给出了解的显式迭代序列和误差估计。
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| 关 键 词： | 序Banach空间 单调迭代方法 不连续二阶积分-微分方程 |
Unique solution of initial value problems for second-order discontinous integro-differential equation |
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| LIANG Shu-xia,SONG Guang-xing.Unique solution of initial value problems for second-order discontinous integro-differential equation[J].Journal of China University of Petroleum,2008,32(5). |
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| Authors: | LIANG Shu-xia SONG Guang-xing |
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| Abstract: | The existence and unique solution of initial value problem for second-order discontinous integro-differential equation with dependence on first derivative were investigated in Banach spaces.And the explicit iterative sequence and error estimate of the iterative sequences of approximation solution were given. |
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| Keywords: | ordered Banach space monotone iterative method discontinous second order integro-differential equation |
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