This article is cited 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

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.

UDC: 517.984

Received: 10.03.2003
Accepted: 09.10.2003