Publication details

Critical higher order Sturm-Liouville difference operators

Authors

DOŠLÝ Ondřej HASIL Petr

Year of publication 2011
Type Article in Periodical
Magazine / Source J. Difference Equ. Appl.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Sturm-Liouville difference operator; Linear Hamiltonian difference system; recessive system of solutions; p-critical operator
Description We investigate the so-called critical $2n$-order Sturm-Liouville difference operators and associated symmetric banded matrices. We show that arbitrarily small (in a~certain sense) negative perturbation of nonnegative critical operator leads to an operator which is no longer nonnegative.
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