| Banach空间中非线性微分方程的迭代解 |
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| 引用本文： | 张金清,杨志林.Banach空间中非线性微分方程的迭代解[J].山东大学学报(理学版),2000,35(4). |
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| 作者姓名： | 张金清 杨志林 |
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| 作者单位： | 山东大学,数学院,山东,济南,250100 |
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| 基金项目： | 国家教委博士点基金资助项目 |
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| 摘 要： | 在更广泛的条件下得到了Banach空间上一阶非线性微分方程初值问题和周期边值问题的最大解和最小解的存在性及其迭代求法 ,并推广了许多已知结果 .
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| 关 键 词： | Banach空间 非线性微分方程 迭代解 |
ITERATIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| ZHANG Jin-qing,YANG Zhi-lin.ITERATIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Journal of Shandong University,2000,35(4). |
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| Authors: | ZHANG Jin-qing YANG Zhi-lin |
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| Abstract: | Under wider conditions,the maximal and minimal solutions of the initial value problem and periodic boundary value problem for first order nonlinear differential equations in Banach spaces are investigated,and the iterative algorithm of the solutions is also obtained. |
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| Keywords: | Banach spaces nonlinear differential equations iterative solutions |
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