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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2003, Issue 3, Pages 8–15 (Mi uzeru528)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients

A. G. Petrosyan

Yerevan State University
Full-text PDF (119 kB) Citations (3)
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Abstract: In $L^2(\mathbb {R})$ space an $m\geq 2$, linear order self-adjoint differential operator is observed, the coefficients of which have precise behavior in infinity. The operator’s point spectrum is examined. Particularly the limitation of point spectrum and the non-infinity of boundary points set are proved.
Keywords: Self-adjoint differential operator, point spectrum, boundary points set.
Received: 10.03.2003
Accepted: 09.10.2003
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. G. Petrosyan, “The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients”, Proceedings of the YSU, Physical and Mathematical Sciences, 2003, no. 3, 8–15
Citation in format AMSBIB
\Bibitem{Pet03}
\by A.~G.~Petrosyan
\paper The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2003
\issue 3
\pages 8--15
\mathnet{http://mi.mathnet.ru/uzeru528}
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  • This publication is cited in the following 3 articles:
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