Spectral Analysis for Linear PencilsN ?P of Ordinary Differential Operators
Spectral Analysis for Linear PencilsN ?P of Ordinary Differential Operators
复制标题
DOI：
10.1002/mana.19961790116
复制
发表时间：
1996
影响因子：
1
通讯作者：
A. Shkalikov;C. Tretter
中科院分区：
文献类型：
--
作者：
A. Shkalikov;C. Tretter
研究了两个常微分算子的线性铅笔N-λ的边界特征值问题，其中P比N低.在适当尺度的Sobolev空间和连续可微函数空间中，证明了特征函数和伴随函数的极小性和基本性质，包括傅里叶系数的显式公式.作为应用，考虑了Orr-Sommerfeld方程。
Boundary eigenvalue problems for linear pencils N — λ of two ordinary differential operators are studied where P is of lower order than N. In a suitable scale of subspaces of Sobolev spaces and spaces of continuously differentiable functions results on minimality and basis properties of the eigenfunctions and associated functions are proved, including explicit formulas for the Fourier coefficients. As an application the Orr - Sommerfeld equation is considered.