| Banach不动点定理在非线性发展变分不等式解的讨论中的应用 |
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| 引用本文： | 高斐,王希营,丁方允. Banach不动点定理在非线性发展变分不等式解的讨论中的应用[J]. 兰州大学学报(自然科学版), 2003, 39(2): 9-11 |
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| 作者姓名： | 高斐 王希营 丁方允 |
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| 作者单位： | 兰州大学数学系,甘肃,兰州,730000;兰州大学数学系,甘肃,兰州,730000;兰州大学学报编辑部,甘肃,兰州,730000 |
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| 摘 要： | 利用Banach不动点定理给出了一类由粘弹接触问题引出的非线性发展变分不等式解的存在惟一性，并为其数值求解提供了理论依据．
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| 关 键 词： | 发展变分不等式 Lipschitz连续 强单调性 Banach不动点定理 |
| 文章编号： | 0455-2059(2003)02-0009-03 |
Application of Banach''''s fixed point theorem in the discussion of non-linear evolutionary variational inequality solution |
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| GAO Fei,WAN G Xi- ying,DING Fang- yun. Application of Banach''''s fixed point theorem in the discussion of non-linear evolutionary variational inequality solution[J]. Journal of Lanzhou University(Natural Science), 2003, 39(2): 9-11 |
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| Authors: | GAO Fei WAN G Xi- ying DING Fang- yun |
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| Affiliation: | GAO Fei1,WAN G Xi- ying2,DING Fang- yun1 |
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| Abstract: | With the use of Banach's fixed point theorem,an existent and unique resultis given for a class of non- linear evolutionary variational inequalities arising from frictional contactproblems for viscoelastic materials.This provides a theoretical basis for using numerical methods in the solution of the inequali- ties. |
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