Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case

Cilt: 2 Sayı: 2 22 Ocak 2014
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Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case

Öz

In this article, we give a description of all maximal dissipative, self adjoint and other extensions of scalar fourth order differential operators in the lim 3 case.

Anahtar Kelimeler

Kaynakça

  1. Von Neumann J., “Allgemeine Eigenwertheorie Hermitischer Functionaloperatoren”, Math. Ann. 102,49-131, 1929.
  2. Calkin J. W., “Abstract boundary conditions”, Trans. Amer. Math. Soc.,45, 3, 369-442, 1939. Rofe-Beketov F.S., “Self-adjoint extensions of differential operators in a space of vector valued functions'”, Dokl. Akad. Nauk SSSR 184,1034-1037, 1969 ; English transl. in Soviet Math. Dokl. 10,188-192, 1969.
  3. Bruk V. M. “On a class of boundary --value problemswith a spectral parameter in the boundary conditions”, Mat. Sb., 100, 210-216. , 1976.
  4. Kochubei A. N., “Extensions of symmetric operators and symmetric binary relations”, Mat. Zametki 17, 41-48, 1975; English transl. in Math. Notes 17, 25-28, 1975.
  5. Gorbachuk M.L., “Gorbachuk V.I. and Kochubei A.N., The theory of extensions of symmetric operators and boundary-value problems for differential equations”, Ukrain. Mat. Zh. 4112991312, 1989; English transl. in Ukrainian Math. J. 41, 1117-1129, 1989.
  6. Fulton C.T., “Parametrization of Titchmarsh"s m (λ)- functions in the limit circle case”, Trans. Amer. Math. Soc. 229, 51-63 , 1977.
  7. Krein M. G., “On the indeterminate case of the Sturm-Liouville boundaryvalue problem in the interval (0,∞)”, Akad. Nauk SSSR Ser. Mat. 16, 292-324, 1952.
  8. Khol'kin A. M., “Self-adjoint boundary conditions at-infinity for a quasi regular system of evenorder differential equations”, 174-183 in: Theory of operators in function spaces and its applications, Naukova Dumka, Kiev, 1981.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

-

Yayımlanma Tarihi

22 Ocak 2014

Gönderilme Tarihi

3 Eylül 2013

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2013 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Tuna, H. (2014). Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case. Nevşehir Bilim ve Teknoloji Dergisi, 2(2), 75-79. https://doi.org/10.17100/nevbiltek.210890
AMA
1.Tuna H. Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case. Nevşehir Bilim ve Teknoloji Dergisi. 2014;2(2):75-79. doi:10.17100/nevbiltek.210890
Chicago
Tuna, Hüseyin. 2014. “Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case”. Nevşehir Bilim ve Teknoloji Dergisi 2 (2): 75-79. https://doi.org/10.17100/nevbiltek.210890.
EndNote
Tuna H (01 Ocak 2014) Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case. Nevşehir Bilim ve Teknoloji Dergisi 2 2 75–79.
IEEE
[1]H. Tuna, “Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case”, Nevşehir Bilim ve Teknoloji Dergisi, c. 2, sy 2, ss. 75–79, Oca. 2014, doi: 10.17100/nevbiltek.210890.
ISNAD
Tuna, Hüseyin. “Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case”. Nevşehir Bilim ve Teknoloji Dergisi 2/2 (01 Ocak 2014): 75-79. https://doi.org/10.17100/nevbiltek.210890.
JAMA
1.Tuna H. Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case. Nevşehir Bilim ve Teknoloji Dergisi. 2014;2:75–79.
MLA
Tuna, Hüseyin. “Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case”. Nevşehir Bilim ve Teknoloji Dergisi, c. 2, sy 2, Ocak 2014, ss. 75-79, doi:10.17100/nevbiltek.210890.
Vancouver
1.Hüseyin Tuna. Dissipative Extensions of Fourth Order Differential Operators in the Lim -3 Case. Nevşehir Bilim ve Teknoloji Dergisi. 01 Ocak 2014;2(2):75-9. doi:10.17100/nevbiltek.210890

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