| 某四阶微分算子的一个正则性定理 |
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| 引用本文： | 刘颖范.某四阶微分算子的一个正则性定理[J].应用数学和力学,1996,17(6):507-514. |
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| 作者姓名： | 刘颖范 |
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| 作者单位： | 南京航空航天大学理学院应用数学教研室, 南京210016 |
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| 摘 要： | 本文给出了某带参数λ的四阶微分算子Bλ的一个正则性定理,由此我们分别获得了关于该算子在“非线性情形”的二个同胚类及在“线性情形”的三个线性同构类。这对描述某飞行器在其运行过程中某些类双向稳定性质是有用与方便的。
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| 关 键 词： | 同胚 线性同构 内插不等式 |
| 收稿时间： | 1994-12-31 |
A Regularity Theorem for a Certain Fourth-orderDifferential Operator |
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| Liu Yingfan.A Regularity Theorem for a Certain Fourth-orderDifferential Operator[J].Applied Mathematics and Mechanics,1996,17(6):507-514. |
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| Authors: | Liu Yingfan |
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| Institution: | Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China |
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| Abstract: | This paper provides a regularity theorem for certain fourth-order differential operator Bλ with λ. from which we have obtained two homoeomorphism classes in "nonlinear case" or three linear isomorphism classes in "linear case" about this operator respectively It is useful and convenient to explain certain types of stability properties in both directions of some flying vehiele in its moving process. |
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| Keywords: | homeomorphism linear isomorphism interpolating inequality |
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