The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2003), pp. 8-15
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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.
A. G. Petrosyan. The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2003), pp. 8-15. http://geodesic.mathdoc.fr/item/UZERU_2003_3_a1/
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author = {A. G. Petrosyan},
title = {The investigation of the differential operator's point spectrum in infinity with precise behavior coefficients},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {8--15},
year = {2003},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2003_3_a1/}
}
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