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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2008, Issue 3, Pages 16–24 (Mi uzeru310)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Noethericity of semi-elliptical operator with constant coefficients in the range

G. A. Karapetyana, A. A. Darbinyanb

a Yerevan State University
b Russian-Armenian (Slavonic) State University, Yerevan
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Abstract: The current thesis describes the noethericity of the linear differential semielliptical operator with constant coefficients in the range. It’s proved, that in order the operator to be noetherian it is necessary and sufficient for it to be semielliptical. In particular it is proved that the index of the semi-elliptical operator with constant coefficients in the range is equal to zero.
Received: 05.03.2008
Document Type: Article
UDC: 519.95
Language: Russian
Citation: G. A. Karapetyan, A. A. Darbinyan, “Noethericity of semi-elliptical operator with constant coefficients in the range”, Proceedings of the YSU, Physical and Mathematical Sciences, 2008, no. 3, 16–24
Citation in format AMSBIB
\Bibitem{KarDar08}
\by G.~A.~Karapetyan, A.~A.~Darbinyan
\paper Noethericity of semi-elliptical operator with constant coefficients in the range
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2008
\issue 3
\pages 16--24
\mathnet{http://mi.mathnet.ru/uzeru310}
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    		Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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