Spectral analysis of singular Sturm-Liouville operators on time scales

• Autorzy: Bilender P. Allahverdiev , Huseyin Tuna
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider properties of the spectrum of a Sturm-Liouvilleoperator on time scales. We will prove that the regular symmetricSturm-Liouville operator is semi-bounded from below. We will also give someconditions for the self-adjoint operator associated with the singularSturm-Liouville expression to have a discrete spectrum. Finally, we willinvestigate the continuous spectrum of this operator.

Słowa kluczowe

EN

Sturm-Liouville operator; time scales; splitting method; discrete spectrum; continuous spectrum

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2018
• Tom: 72
• Numer: 1

Daty

wydano

2018

online

2018-06-25

Twórcy

autor

Bilender P. Allahverdiev

autor

Huseyin Tuna

Bibliografia

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Identyfikatory

DOI

10.17951/a.2018.72.1.1-11