. "1023-6198" . . "192273" . . "13"^^ . "1"^^ . . "17" . . "Critical higher order Sturm-Liouville difference operators"@en . "Critical higher order Sturm-Liouville difference operators"@en . "RIV/00216224:14310/11:00049941" . . . . . "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."@en . . "Hasil, Petr" . "[81168F2D4708]" . . "14310" . . "P(GA201/07/0145), P(GAP201/10/1032), P(GC201/09/J009), Z(MSM0021622409)" . . . "J. Difference Equ. Appl." . "9" . . . "Critical higher order Sturm-Liouville difference operators" . "Sturm-Liouville difference operator; Linear Hamiltonian difference system; recessive system of solutions; p-critical operator"@en . . "Do\u0161l\u00FD, Ond\u0159ej" . "RIV/00216224:14310/11:00049941!RIV12-GA0-14310___" . . . . . "2"^^ . "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." . "Critical higher order Sturm-Liouville difference operators" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" .