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
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.
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).
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.