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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Multipoint selfadjoint quasi-differential operators for first order

Rukiye Öztürk Mert0000-0001-8083-5304
Bülent Yılmaz0000-0002-1394-230X
Zameddin İ. Ismailov0000-0001-5193-5349
Sayfa
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Yayın Tarihi
2019-02-01
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We have also examine the structure of the spectrum of such extensions.

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Amaç & Hipotez:In the present paper, the aim is to described all selfadjoint extensions of the minimal operator generated by first order linear symmetric multipoint quasi-differential operator expression in the direct sum of weighted Hilbert spaces of vector-functions defined at the semi-infinite intervals by using the Calkin-Gorbachuk method.
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Temel Bulgular & Veri:In the present paper, the aim is to described all selfadjoint extensions of the minimal operator generated by first order linear symmetric multipoint quasi-differential operator expression in the direct sum of weighted Hilbert spaces of vector-functions defined at the semi-infinite intervals by using the Calkin-Gorbachuk method.
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Sonuç & Katkı:We have also examine the structure of the spectrum of such extensions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Symmetric and selfadjoint differential operators · multipoint quasi-differential expression · deficiency indices

Abstract

In the present paper, the aim is to described all selfadjoint extensions of the minimal operator generated by first order linear symmetric multipoint quasi-differential operator expression in the direct sum of weighted Hilbert spaces of vector-functions defined at the semi-infinite intervals by using the Calkin-Gorbachuk method. We have also examine the structure of the spectrum of such extensions.

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Bu Makaleye Atıf Yap

Mert, R. Ö., Yılmaz, B., Ismailov, Z. İ. (2019). Multipoint selfadjoint quasi-differential operators for first order. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.501414

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Kaynakça (12)

  1. Bairamov E., Öztürk Mert, R, Ismailov, Z., Selfadjoint Extensions of a Singular Differential Operator, Journal of Mathematical Chemistry, 50: (2012), 1100-1110.
  2. El-Gebeily, M.A., O'Regan, D., Agarwal, R., Characterization of Self-adjoint Ordinary Differential Operators, Mathematical and Computer Modelling, 54 (2011), 659-672.
  3. Everitt, WN, Markus L., The Glazman-Krein-Naimark Theorem for Ordinary Differential Operators, Operator Theory, Advances and Applications, 98 (1997), 118-130.
  4. Everitt, W.N., Poulkou A., Some Observations and Remarks on Differential Operators Generated by First-Order Boundary Value Problems, Journal of Computational and Applied Mathematics, 153 (2003), 201-211.
  5. Glazman, IM., On the Theory of Singular Differential Operators, Uspehi Math. Nauk., 40 (1950), 102-135 (English translation in Amer. Math. Soc. Translations 1962; (1), 4: 331-372).
  6. Gorbachuk, VI, Gorbachuk, ML., Boundary Value Problems for Operator-Differential Equations, First ed., Kluwer Academic Publisher: Dordrecht, 1991.
  7. Hörmander, L., On the Theory of General Partial Differential Operators, Acta Mathematica, 94 (1955), 161-248.
  8. Naimark, MA., Linear Differential Operators II. Ungar, New York, 1968.
  9. von Neumann, J., Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren, Math. Ann. 102 (1929-1930), 49-131.
  10. Rofe-Beketov, FS, Kholkin, AM., Spectral Analysis of Differential Operators, World Scientific Monograph Series in Mathematics v.7. 2005.
  11. Stone, MH., Linear Transformations in Hilbert Spaces and Their Applications in Analysis, American Math. Soc. Coloq., (1932), 15.
  12. Zettl, A, Sun, J., Survey Article: Self-adjoint Ordinary Differential Operators and Their Spectrum, Rocky Mountain Journal of Mathematics, 45, 1 (2015), 763-886.