| 液态金属流的表面张力问题中的两点边值问题解的存在性 |
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| 引用本文： | 史永东.液态金属流的表面张力问题中的两点边值问题解的存在性[J].数学学报,1998,41(5). |
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| 作者姓名： | 史永东 |
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| 作者单位： | 东北财经大学金融工程研究中心 |
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| 摘 要： | 本文讨论了在区域提纯过程中，研究液态金属流的表面张力时提出的一个带有非负参数Ｑ的两点边值问题．利用上、下解方法和Ｓｃｈａｕｄｅｒ不动点定理，证明了当０Ｑ８５１时，该问题至少有一个解，对已有结果０Ｑ＜１进行了重要的改进．
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| 关 键 词： | 两点边值问题，上、下解方法，Schauder不动点定理 |
A Two-point Boundary Value Problem Arising from a Liquid Metal Flow |
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| Shi Yongdong.A Two-point Boundary Value Problem Arising from a Liquid Metal Flow[J].Acta Mathematica Sinica,1998,41(5). |
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| Authors: | Shi Yongdong |
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| Institution: | Shi Yongdong (Research Centre of Financial Engineering, Dongbei University of Finance & Economics, P.O. Box 74,Dalian 116023, China) |
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| Abstract: | A two point boundary value problem with anon negativeparameter Q arising in the study of surface tension induced flows of aliquid metal or semiconductor is studied. Using the upper lowersolution method and Schauder′s fixed point theorem, we proved that the problem has at least one solution when 0Q8 51. This improve a recent result where 0Q<1. |
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| Keywords: | Two-point boundary value problem The upper low solution method Schauder′s fixed point theorem |
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