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

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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/wk \Deltan (rk \Deltan yk) ,
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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