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Year 2018, Volume: 8, 22 - 28, 30.06.2018

Abstract

References

  • Coddington, E.A., Extension theory of formally normal and symmetric subspaces, Mem. Amer. Math. Soc., 134(1973), 1–80.
  • Davis, R.H., Singular Normal Differential Operators, Tech. Rep., Dep. Math., California Univ., 1955.
  • 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.
  • Hörmander, L., On the theory of general partial differential operators, Acta Mathematica, 94(1955), 161–248.
  • Ismailov, Z.I., Compact inverses of first-order normal differential operators, J. Math., Anal. Appl. USA, 320(1)(2006), 266–278.
  • Kilpi, Y., Über lineare normale transformationen in Hilbertschen raum, Ann. Acad. Sci. Fenn. Math. Ser. AI, 154(1953).
  • Kilpi, Y., Über das komplexe momenten problem, Ann. Acad. Sci. Fenn. Math. Ser. AI, 236(1957), 1–32.
  • Kilpi, Y., Über die anzahl der hypermaximalen normalen fort setzungen normalen transformationen, Ann. Univ. Turkuensis. Ser. AI, 65(1963).

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

Year 2018, Volume: 8, 22 - 28, 30.06.2018

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.

References

  • Coddington, E.A., Extension theory of formally normal and symmetric subspaces, Mem. Amer. Math. Soc., 134(1973), 1–80.
  • Davis, R.H., Singular Normal Differential Operators, Tech. Rep., Dep. Math., California Univ., 1955.
  • 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.
  • Hörmander, L., On the theory of general partial differential operators, Acta Mathematica, 94(1955), 161–248.
  • Ismailov, Z.I., Compact inverses of first-order normal differential operators, J. Math., Anal. Appl. USA, 320(1)(2006), 266–278.
  • Kilpi, Y., Über lineare normale transformationen in Hilbertschen raum, Ann. Acad. Sci. Fenn. Math. Ser. AI, 154(1953).
  • Kilpi, Y., Über das komplexe momenten problem, Ann. Acad. Sci. Fenn. Math. Ser. AI, 236(1957), 1–32.
  • Kilpi, Y., Über die anzahl der hypermaximalen normalen fort setzungen normalen transformationen, Ann. Univ. Turkuensis. Ser. AI, 65(1963).
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Pembe İpek

Bülent Yılmaz

Zameddin İsmailov

Publication Date June 30, 2018
Published in Issue Year 2018 Volume: 8

Cite

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.
AMA İpek P, Yılmaz B, İsmailov Z. The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. TJMCS. June 2018;8:22-28.
Chicago İpek, Pembe, Bülent Yılmaz, and Zameddin İsmailov. “The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum”. Turkish Journal of Mathematics and Computer Science 8, June (June 2018): 22-28.
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 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, 2018.
ISNAD 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 8 (June 2018), 22-28.
JAMA 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, 2018, pp. 22-28.
Vancouver İpek P, Yılmaz B, İsmailov Z. The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. TJMCS. 2018;8:22-8.