dbd

R.Hilscher

Discrete spectra criteria for certain classes of singular differential and difference operators

Abstract

In this paper we consider singular differential and difference operators of the form

m(y) = (-1)

ⁿ/w(t) (r(t)y⁽ⁿ⁾)⁽ⁿ⁾ and

b(y)

_k+n = (-1)ⁿ/w_k \Deltaⁿ (r_k \Deltaⁿ y_k) , as well as their full-term analogies. We establish criteria for discreteness and boudnedness bellow of their spectrum -- property BD. Difference operators are studied as the discrete counterparts of the continuous ones.

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Last change: August 28, 2000. (c) Roman Hilscher