A class of Sturm-Liouville difference equations: (non)oscillation constants and property BD

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Authors	DOŠLÝ Ondřej HILSCHER Roman
Year of publication	2003
Type	Article in Periodical
Magazine / Source	Comput Math. Appl.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Sturm-Liouville difference operator; (non)oscillation criteria; disconjugacy; generalized zero; factorization of disconjugate operators; property BD
Description	Oscillatory and spectral properties of the higher-order Sturm-Liouville difference equations are investigated. Sufficient conditions for (non)oscillation of these equations are derived and the obtained results are used to study discreteness and boundedness below (the so-called property BD) of the spectrum of associated difference operators.
Related projects:	Qualitative theory of solutions of difference equations Qualitative theory of differential equations