| 关于—类三阶混合型方程和变系数双曲型方程的边值问题 |
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| 引用本文： | 倪星棠.关于—类三阶混合型方程和变系数双曲型方程的边值问题[J].数学杂志,1995(3). |
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| 作者姓名： | 倪星棠 |
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| 作者单位： | 河海大学机械学院 |
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| 摘 要： | 本文先扼要介绍一类三阶双曲抛物混合型偏微分方程的边值问题，然后讨论了与之有关的一类变系数三阶双曲型方程以特征线为支柱的边值问题，得到了有唯一解时此变系数应满足的充分必要条件。
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| 关 键 词： | 双曲抛物混合型，三阶双曲型方程，变系数，特征线。 |
ON BOUNDARY VALUE PROBLEMS FOR A CLASS OF THE MIXED EQUATION OF THE THIRD ORDER AND THE HYPERBOLIC EQUATION WITH VARIED COEFFICIENTS |
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| Ni Xingtang.ON BOUNDARY VALUE PROBLEMS FOR A CLASS OF THE MIXED EQUATION OF THE THIRD ORDER AND THE HYPERBOLIC EQUATION WITH VARIED COEFFICIENTS[J].Journal of Mathematics,1995(3). |
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| Authors: | Ni Xingtang |
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| Abstract: | At first we concisely introduce the bouncdary value Droblem for a class of the third order mixd partial differential equation of the parabolo-hyperbolic type,Then we discuss the connective boundary value problem with characteristic supports for the third order hyperbolic equation with varied coefficient and obtain the sufficient and necessary condition to the varied coefficient under which the problem have u-nique solution. |
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| Keywords: | Parabolo-hyperbolic mixed type hyperbolic equation of the third ovder varied coefficient Cbaracteristic line |
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