Research Article

The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum

Volume: 8 June 30, 2018
EN

The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum

Abstract

In this work, the general form of all normal quasi-differential operators for rst order in the weighted Hilbert spaces of vector-functions on right semi-axis in term of boundary conditions has been found. Later on, spectrum set of these operators will be investigated.

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 Differential Operators, Tech. Rep., Dep. Math., California Univ., 1955.
  3. Gorbachuk, V.I., Gorbachuk, M.L., On boundary value problems for a first-order differential equation with operator coefficients and the expansion in eigenvectors of this equation, Soviet Math. Dokl., 14(1)(1973), 244–248.
  4. Hörmander, L., On the theory of general partial differential operators, Acta Mathematica, 94(1955), 161–248.
  5. Ismailov, Z.I., Compact inverses of first-order normal differential operators, J. Math., Anal. Appl. USA, 320(1)(2006), 266–278.
  6. Kilpi, Y., Über lineare normale transformationen in Hilbertschen raum, Ann. Acad. Sci. Fenn. Math. Ser. AI, 154(1953).
  7. Kilpi, Y., Über das komplexe momenten problem, Ann. Acad. Sci. Fenn. Math. Ser. AI, 236(1957), 1–32.
  8. Kilpi, Y., Über die anzahl der hypermaximalen normalen fort setzungen normalen transformationen, Ann. Univ. Turkuensis. Ser. AI, 65(1963).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 30, 2018

Submission Date

January 11, 2018

Acceptance Date

March 13, 2018

Published in Issue

Year 2018 Volume: 8

APA
İpek, P., Yılmaz, B., & İsmailov, Z. (2018). The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. Turkish Journal of Mathematics and Computer Science, 8, 22-28. https://izlik.org/JA75WG52SC
AMA
1.İpek P, Yılmaz B, İsmailov Z. The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. TJMCS. 2018;8:22-28. https://izlik.org/JA75WG52SC
Chicago
İpek, Pembe, Bülent Yılmaz, and Zameddin İsmailov. 2018. “The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum”. Turkish Journal of Mathematics and Computer Science 8 (June): 22-28. https://izlik.org/JA75WG52SC.
EndNote
İpek P, Yılmaz B, İsmailov Z (June 1, 2018) The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. Turkish Journal of Mathematics and Computer Science 8 22–28.
IEEE
[1]P. İpek, B. Yılmaz, and Z. İsmailov, “The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum”, TJMCS, vol. 8, pp. 22–28, June 2018, [Online]. Available: https://izlik.org/JA75WG52SC
ISNAD
İpek, Pembe - Yılmaz, Bülent - İsmailov, Zameddin. “The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum”. Turkish Journal of Mathematics and Computer Science 8 (June 1, 2018): 22-28. https://izlik.org/JA75WG52SC.
JAMA
1.İpek P, Yılmaz B, İsmailov Z. The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. TJMCS. 2018;8:22–28.
MLA
İpek, Pembe, et al. “The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum”. Turkish Journal of Mathematics and Computer Science, vol. 8, June 2018, pp. 22-28, https://izlik.org/JA75WG52SC.
Vancouver
1.Pembe İpek, Bülent Yılmaz, Zameddin İsmailov. The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. TJMCS [Internet]. 2018 Jun. 1;8:22-8. Available from: https://izlik.org/JA75WG52SC