某四阶微分算子的一个正则性定理

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A Regularity Theorem for a Certain Fourth-order Differential Operator

Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

摘要: 本文给出了某带参数λ的四阶微分算子B_λ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。
- 同胚 /
- 线性同构 /
- 内插不等式
Abstract: This paper provides a regularity theorem for certain fourth-order differential operator B_λ 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.
- homeomorphism /
- linear isomorphism /
- interpolating inequality

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