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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2003, Issue 3, Pages 8–15
(Mi uzeru528)
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Mathematics
The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients
A. G. Petrosyan Yerevan State University
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
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
Linking options:
https://www.mathnet.ru/eng/uzeru528 https://www.mathnet.ru/eng/uzeru/y2003/i3/p8
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Abstract page: | 147 | Full-text PDF : | 38 | References: | 41 |
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