| 二阶常微分方程及Thomas－Fermi方程的边值问题 |
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| 引用本文： | 刘文斌.二阶常微分方程及Thomas－Fermi方程的边值问题[J].高校应用数学学报(A辑),1994(2). |
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| 作者姓名： | 刘文斌 |
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| 作者单位： | 中国矿业大学数力系 |
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| 摘 要： | 本文利用上、下解方法推广了Ｍ．Ｌｅｅｓ关于半线性边值问题的结果，给出了另一类边值问题解的存在唯一性的一个充分条件；并利用所得的结果证明了Ｔｈｏｍａｓ－Ｆｅｒｍｉ方程的边值问题解的存在唯一性，从而推广了Ｃ．ＤＬｕｎｉｎｇ的结果．
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| 关 键 词： | 上下解，边值问题，Thomas－Fermi方程． |
THE BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS AND THOMAS-FERMI EQUATION |
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| Liu Wenbin.THE BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS AND THOMAS-FERMI EQUATION[J].Applied Mathematics A Journal of Chinese Universities,1994(2). |
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| Authors: | Liu Wenbin |
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| Abstract: | In this paper,we extend the results of M.Lees about semilinear BVP by upper and lower solutions,and give a sufficient condition of existence and uniqueness of solutions for the BVP of another kind. With the above results we prove existence and uniqueness of solutions for Thomas-Fermi equation's BVP,thus extend the results of C.D.Luning on this problem. |
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| Keywords: | Upper and Lower Solutions Boundary Value Problems Thomas-Fermi Equation |
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