| 一类三阶非线性偏微分方程初边值问题解的存在性 |
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| 引用本文： | 程晋. 一类三阶非线性偏微分方程初边值问题解的存在性[J]. 复旦学报(自然科学版), 1988, 0(4) |
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| 作者姓名： | 程晋 |
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| 作者单位： | 复旦大学数学研究所 1984届硕士研究生 |
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| 摘 要： | 本文研究形如U_(xxv)=F(x,y,U_(xx),U_(xv),U_v,U_x,U)的三阶非线性偏微分方程,利用积分算子的特殊性质和不动点原理,证明了其初边值问题的局部正规解的存在性。
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| 关 键 词： | 非线性方程 积分算子 不动点。 |
THE EXISTENCE OF THE SOLUTION OF INITIAL AND BOUNDARY VALUE PROBLEM OF ONE KIND NONLINEAR PARTIAL DIFFERENTIAL EQUATION OF THIRD ORDER |
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| Cheng Jin,. THE EXISTENCE OF THE SOLUTION OF INITIAL AND BOUNDARY VALUE PROBLEM OF ONE KIND NONLINEAR PARTIAL DIFFERENTIAL EQUATION OF THIRD ORDER[J]. Journal of Fudan University(Natural Science), 1988, 0(4) |
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| Authors: | Cheng Jin |
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| Affiliation: | Institute of Mathematics |
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| Abstract: | In this paper, the following kind of nonlinear partial differential equation ofthird order (?)is considered. By using the special properties of integral operators and fixed pointstheory, the existence of regular local solution of initial and boundary value problemof this kind of equation is proved. |
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| Keywords: | nonlinear equations integral operators fixed points. |
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