Spectral analysis of singular Sturm-Liouville operators on time scales

Bilender P. Allahverdiev; Huseyin Tuna

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2018)

  • Volume: 72, Issue: 1
  • ISSN: 0365-1029

Abstract

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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.

How to cite

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Bilender P. Allahverdiev, and Huseyin Tuna. "Spectral analysis of singular Sturm-Liouville operators on time scales." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 72.1 (2018): null. <http://eudml.org/doc/290760>.

@article{BilenderP2018,
abstract = {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.},
author = {Bilender P. Allahverdiev, Huseyin Tuna},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Sturm-Liouville operator; time scales; splitting method; discrete spectrum; continuous spectrum},
language = {eng},
number = {1},
pages = {null},
title = {Spectral analysis of singular Sturm-Liouville operators on time scales},
url = {http://eudml.org/doc/290760},
volume = {72},
year = {2018},
}

TY - JOUR
AU - Bilender P. Allahverdiev
AU - Huseyin Tuna
TI - Spectral analysis of singular Sturm-Liouville operators on time scales
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2018
VL - 72
IS - 1
SP - null
AB - 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.
LA - eng
KW - Sturm-Liouville operator; time scales; splitting method; discrete spectrum; continuous spectrum
UR - http://eudml.org/doc/290760
ER -

References

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