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
• 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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