Selfadjoint Singular Quasi-Differential Operators for First Order

Volume: 6 Number: 1 March 28, 2019
  • Pembe Ipek Al
  • Zameddin Ismailov
EN

Selfadjoint Singular Quasi-Differential Operators for First Order

Abstract

I n this work, using the Calkin-Gorbachuk method firstly all selfadjoint extensions of the minimal operator generated by first order linear singular quasi-differential expression in the weighted Hilbert space of vector-functions on right semi-axis have been described. Lastly, the structure of the spectrum set of these extensions has been investigated

Keywords

References

  1. 1. Bairamov E, Öztürk Mert R, Ismailov Z. Selfadjoint extensions of a singular differential operator. Journal of Mathematical Chemistry 50 (2012) 1100-1110.
  2. 2. El-Gebeily MA, O'Regan D, Agarwal R. Characterization of self-adjoint ordinary differential operators. Mathematical and Computer Modelling 54 (2011) 659-672.
  3. 3. Everitt WN, Markus L. The Glazman-Krein-Naimark Theorem for ordinary differential operators. Operator Theory, Advances and Applications 98 (1997) 118-130.
  4. 4. Everitt WN, 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. 5. Glazman IM. On the theory of singular differential operators Uspekhi Matematicheskikh Nauk 40 (1962) 102-135, ( English translation in American Mathematical Society Translations 4 (1962) 331-372).
  6. 6. Gorbachuk VI, Gorbachuk MI. Boundary Value Problems for Operator Differential Equations, Mathematics and its Applications, Kluwer, Dordrecht, 1991.
  7. 7. Hörmander L. On the theory of general partial differential operators. Acta Mathematica 94 (1955) 161-248.
  8. 8. Ismailov ZI, Öztürk Mert R. Selfadjoint extensions of a singular multipoint differential operator of first Order. Electronic Journal of Differential Equations 129 (2013) 1-11.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Pembe Ipek Al This is me

Zameddin Ismailov This is me

Publication Date

March 28, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 6 Number: 1

APA
Al, P. I., & Ismailov, Z. (2019). Selfadjoint Singular Quasi-Differential Operators for First Order. Hittite Journal of Science and Engineering, 6(1), 31-35. https://doi.org/10.17350/HJSE19030000130
AMA
1.Al PI, Ismailov Z. Selfadjoint Singular Quasi-Differential Operators for First Order. Hittite J Sci Eng. 2019;6(1):31-35. doi:10.17350/HJSE19030000130
Chicago
Al, Pembe Ipek, and Zameddin Ismailov. 2019. “Selfadjoint Singular Quasi-Differential Operators for First Order”. Hittite Journal of Science and Engineering 6 (1): 31-35. https://doi.org/10.17350/HJSE19030000130.
EndNote
Al PI, Ismailov Z (March 1, 2019) Selfadjoint Singular Quasi-Differential Operators for First Order. Hittite Journal of Science and Engineering 6 1 31–35.
IEEE
[1]P. I. Al and Z. Ismailov, “Selfadjoint Singular Quasi-Differential Operators for First Order”, Hittite J Sci Eng, vol. 6, no. 1, pp. 31–35, Mar. 2019, doi: 10.17350/HJSE19030000130.
ISNAD
Al, Pembe Ipek - Ismailov, Zameddin. “Selfadjoint Singular Quasi-Differential Operators for First Order”. Hittite Journal of Science and Engineering 6/1 (March 1, 2019): 31-35. https://doi.org/10.17350/HJSE19030000130.
JAMA
1.Al PI, Ismailov Z. Selfadjoint Singular Quasi-Differential Operators for First Order. Hittite J Sci Eng. 2019;6:31–35.
MLA
Al, Pembe Ipek, and Zameddin Ismailov. “Selfadjoint Singular Quasi-Differential Operators for First Order”. Hittite Journal of Science and Engineering, vol. 6, no. 1, Mar. 2019, pp. 31-35, doi:10.17350/HJSE19030000130.
Vancouver
1.Pembe Ipek Al, Zameddin Ismailov. Selfadjoint Singular Quasi-Differential Operators for First Order. Hittite J Sci Eng. 2019 Mar. 1;6(1):31-5. doi:10.17350/HJSE19030000130

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