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EN
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
- Von Neumann J., “Allgemeine Eigenwertheorie Hermitischer Functionaloperatoren”, Math. Ann. 102,49-131, 1929.
- 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.
- Bruk V. M. “On a class of boundary --value problemswith a spectral parameter in the boundary conditions”, Mat. Sb., 100, 210-216. , 1976.
- 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.
- 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.
- Fulton C.T., “Parametrization of Titchmarsh"s m (λ)- functions in the limit circle case”, Trans. Amer. Math. Soc. 229, 51-63 , 1977.
- 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.
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
-
Yazarlar
Yayımlanma Tarihi
22 Ocak 2014
Gönderilme Tarihi
3 Eylül 2013
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2013 Cilt: 2 Sayı: 2
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