Spectral properties of a differential system

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The spectrum of the differential operators associated with the differential systemu′=rDDpu,Dy=−y″+qyonL2([0,∞))is determined. For this the coefficients are assumed to satisfy rather general properties which combine smoothness and decay. With this the asymptotics of the eigenfunctions can be determined. This in turn leads to properties of the spectra with the aid of the M-matrix.

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论文评审过程:Received 10 October 2001, Revised 11 February 2002, Available online 15 October 2002.

论文官网地址:https://doi.org/10.1016/S0377-0427(02)00585-X