Conference Paper

Discreteness of Spectrum of Normal Differential Operators for First Order

Volume: 10 December 29, 2018
EN

Discreteness of Spectrum of Normal Differential Operators for First Order

Abstract

In this work, we investigate the discreteness of spectrum of normal extensions in detail. Later on, the asymptotical behavior of eigenvalues of any normal extension has been examined.

Keywords

References

  1. Coddington, E.A., Extension theory of formally normal and symmetric subspaces, Mem. Amer. Math. Soc., 134 (1973), 1-80.
  2. Davis, R. H, Singular Normal Di_erential Operators, Tech. Rep., Dep. Math., California Univ., 1955.
  3. Dunford, N., Schwartz, J. T., Linear Operators I, II, Second ed., Interscience, New York, 1958; 1963.
  4. Gohberg, I.C., Krein, M.G., Introduction to the Theory of Linear Non-Self-Adjoint Operators, Amer. Math. Soc., Providence, RI, 1969.
  5. Gorbachuk, M.L., Self-Adjoint Boundary Value Problems for the Di_erential Equations for Second Order with the Unbounded Operator Coefient, Funktsional. Anal. i Prilozhen. 5 (1971), 10-21 (in Russian).
  6. Gorbachuk, V.I., Gorbachuk, M.L., Boundary Value Problems for Operator Di_erential Equations, Kluwer Academic, Dordrecht, 1991.
  7. Hörmander, L., On the theory of general partial di_erential operators, Acta Mathematica, 94 (1955), 161-248.
  8. Ipek Al, P., Yılmaz, B., Ismailov, Z.I., The general form of normal quasi-di_erential operators for first order and their spectrum, Turkish Journal of Mathematics and Computer Science, 8 (2018), 22-28.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

December 29, 2018

Submission Date

August 5, 2018

Acceptance Date

October 26, 2018

Published in Issue

Year 2018 Volume: 10

APA
Öztürk Mert, R., İpek Al, P., Yılmaz, B., & İ. İsmailov, Z. (2018). Discreteness of Spectrum of Normal Differential Operators for First Order. Turkish Journal of Mathematics and Computer Science, 10, 67-73. https://izlik.org/JA78HG76PX
AMA
1.Öztürk Mert R, İpek Al P, Yılmaz B, İ. İsmailov Z. Discreteness of Spectrum of Normal Differential Operators for First Order. TJMCS. 2018;10:67-73. https://izlik.org/JA78HG76PX
Chicago
Öztürk Mert, Rukiye, Pembe İpek Al, Bülent Yılmaz, and Zameddin İ. İsmailov. 2018. “Discreteness of Spectrum of Normal Differential Operators for First Order”. Turkish Journal of Mathematics and Computer Science 10 (December): 67-73. https://izlik.org/JA78HG76PX.
EndNote
Öztürk Mert R, İpek Al P, Yılmaz B, İ. İsmailov Z (December 1, 2018) Discreteness of Spectrum of Normal Differential Operators for First Order. Turkish Journal of Mathematics and Computer Science 10 67–73.
IEEE
[1]R. Öztürk Mert, P. İpek Al, B. Yılmaz, and Z. İ. İsmailov, “Discreteness of Spectrum of Normal Differential Operators for First Order”, TJMCS, vol. 10, pp. 67–73, Dec. 2018, [Online]. Available: https://izlik.org/JA78HG76PX
ISNAD
Öztürk Mert, Rukiye - İpek Al, Pembe - Yılmaz, Bülent - İ. İsmailov, Zameddin. “Discreteness of Spectrum of Normal Differential Operators for First Order”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 67-73. https://izlik.org/JA78HG76PX.
JAMA
1.Öztürk Mert R, İpek Al P, Yılmaz B, İ. İsmailov Z. Discreteness of Spectrum of Normal Differential Operators for First Order. TJMCS. 2018;10:67–73.
MLA
Öztürk Mert, Rukiye, et al. “Discreteness of Spectrum of Normal Differential Operators for First Order”. Turkish Journal of Mathematics and Computer Science, vol. 10, Dec. 2018, pp. 67-73, https://izlik.org/JA78HG76PX.
Vancouver
1.Rukiye Öztürk Mert, Pembe İpek Al, Bülent Yılmaz, Zameddin İ. İsmailov. Discreteness of Spectrum of Normal Differential Operators for First Order. TJMCS [Internet]. 2018 Dec. 1;10:67-73. Available from: https://izlik.org/JA78HG76PX