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

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	HILSCHER Roman
Year of publication	2001
Type	Article in Periodical
Magazine / Source	Computers & mathematics with applications
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	oscillation; property BD; quadratic functional; disconjugacy; Sturm-Liouville equation
Description	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.
Related projects:	Difference equations and their applications Qualitative theory of differential equations