The principal functions of the system of finite Sturm-Liouville differential operators corresponding to the eigenvalues and spectral singularities

Bu çalışmada sonlu Sturm-Liouville diferensiyel operatörler sisteminin özdeğerlerine ve spektral tekilliklerine karşılık gelen esas fonksiyonlar incelenmiştir. Özdeğerlerine karşılık gelen esas fonksiyonların$L_2(R_+,C^N)$ uzayına, spektral tekilliklere karşılık gelen esas fonksiyonların$L_2(R_+,C^N)$ uzayını içeren bir başka Hubert uzaya ait olduğu ispatlanmıştır.

Sonlu Sturm-Liouville diferansiyel operatörler sisteminin özdeğerlerine ve spektral tekilliklerine karşılık gelen esas fonksiyonlar

In this paper, the principal functions of the system of finite Sturm-Liouville differential operators corresponding to the eigenvalues and spectral singularities are investigated. We have proved that the principal functions of L corresponding to the eigenvalues are in $L_2(R_+,C^N)$ and the principal functions corresponding to the spectral singularities are in another Hubert space which contains $L_2(R_+,C^N)$.

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