slnosc
O.Dosly, R.Hilscher
A class of Sturm-Liouville difference equations: (non)oscillation constants
and property BD
Abstract
In this paper we study oscillatory properties
of the higher order Sturm-Liouville difference equation
In particular, we derive sufficient conditions for (non)oscillation
of (*) and compute explicitly its (non)oscillation
constants. The obtained results are used to derive necessary and
sufficient conditions for discretenes and boundedness below of
the spectrum of associated difference operators. We discuss also
(non)oscillation of the Euler-type difference equation.
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Last change: February 1, 2001.
(c) Roman Hilscher