THE INVESTIGATION OF THE DIFFERENTIAL OPERATOR'S POINT SPECTRUM IN INFINITY WITH PRECISE BEHAVIOUR COEFFICIENTS

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 behaviour 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.