| Banach空间一阶常微分方程的整体解 |
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| 引用本文： | 汪璇. Banach空间一阶常微分方程的整体解[J]. 西北师范大学学报(自然科学版), 2002, 38(3): 5-10 |
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| 作者姓名： | 汪璇 |
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| 作者单位： | 西北师范大学数学与信息科学学院 甘肃兰州730070 |
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| 摘 要： | 讨论了在无限区间上Banach空间中的常微分方程初值问题的整体解的存在性，对于初值问题，采用上下解的单调迭代方法求解，针对无限区间的特点，采用适当的控代程序，在较弱的条件下，获得了整体解的一些存在性与唯一性结果，并给出了在一阶非线性偏微分方程中应用例子。
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| 关 键 词： | Banach空间 常微分方程 上下解 整体解 单调失代方法 |
| 文章编号： | 1001-988X(2002)03-0005-06 |
Global solutions for first order ordinary differential equations in Banach spaces |
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| WANG Xuan. Global solutions for first order ordinary differential equations in Banach spaces[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2002, 38(3): 5-10 |
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| Authors: | WANG Xuan |
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| Abstract: | The existence of global solutions is discussed for ordinary differential equations of infinite interval in Banach spaces.Upper lower solutions method and monotone iterative technique are applied to initial value problem.By use of proper iterative process which points to the specialties of infinite iterval,some existence and unique results are obtained under weaker conditions.At the same time,an applied example for first order nonlinear partial differential equations is given. |
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| Keywords: | ordinary differential equation in Banach spaces upper and lower solution global solution monotone iterative technique |
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