SPECTRAL SINGULARITIES

Bu çalışmada sonlu Sturm-Liouville diferensiyel operatörler sisteminin özdeğerlerine ve spektral tekilliklerine karşılık gelen esas fonksiyonlar incelenmiştir. Özdeğerlerine karşılık gelen esas fonksiyonların Luzayına, spektral tekilliklere karşılık gelen esas fonksiyonların Luzayını içeren bir başka Hilbert uzaya ait olduğu ispatlanmıştır

Anahtar Kelimeler:

Özdeğer, spektral tekillik, esas fonksiyon

THE PRINCIPAL FUNCTIONS OF THE SYSTEM OF FINITE STRUM-LIOUVILLE DIFFERENTIAL OPERATORS CORRESPONDING TO THE EIGENVALUES AND SPECTRAL SINGULARITIES

ABSTRACTIn 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 ( , ) 2 L R C N + and the principal functions corresponding to the spectral singularities are in another Hilbert space which contains ( , ) 2 L R C N + .

Keywords:

Key Words: Eigen-values, spectral singularities, principal function,

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