Critical higher order Sturm-Liouville difference operators

Došlý,  Ondřej; Hasil,  Petr

Critical higher order Sturm-Liouville difference operators

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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.
Related projects:	Mathematical structures and their physical applications Difference equations and dynamic equations on time scales II Oscillation and spectral theory of differential and difference systems