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. 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 MA, 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 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.
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- 6. Gorbachuk VI, Gorbachuk MI. Boundary Value Problems for Operator Differential Equations, Mathematics and its Applications, Kluwer, Dordrecht, 1991.
- 7. Hörmander L. On the theory of general partial differential operators. Acta Mathematica 94 (1955) 161-248.
- 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
-
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
Cited By
Representation of All Maximally Dissipative Multipoint Differential Operators for First Order
Lobachevskii Journal of Mathematics
https://doi.org/10.1134/S199508022009019X