Principal functions of non-selfadjoint matrix Sturm–Liouville equations

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摘要

In this paper we investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem −y′′+Q(x)y=λ2y,x∈R+=[0,∞),y(0)=0, where Q is a non-selfadjoint matrix-valued function.

论文关键词：34B24,34L40,47A10,Eigenvalues,Spectral singularities,Spectral analysis,Sturm–Liouville operator,Non-selfadjoint matrix operator

论文评审过程：Available online 22 December 2010.

论文官网地址：https://doi.org/10.1016/j.cam.2010.12.004