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Dergiler / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 8 - Sayı: 8

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

Pembe İPEK
Bülent YILMAZ
Zameddin I. ISMAİLOV
Sayfa
22–28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Later on, spectrum set of these operators will be investigated.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Later on, spectrum set of these operators will be investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Formal normal and normal operator · quasi-differential operator · 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.

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Bu Makaleye Atıf Yap

İPEK, P., YILMAZ, B., ISMAİLOV, Z. I. (2018). The General Form of Normal Quasi-Differential Operators for First Order and Their Spectrum. Turkish Journal of Mathematics and Computer Science, Cilt: 8 - Sayı: 8, 22–28. https://ajindex.com/articles/374749

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Kaynakça (8)

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  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).