MATHEMATICA BOHEMICA, Vol. 124, No. 1, pp. 35-44 (1999)

Discrete spectra criteria for singular
difference operators

Simon Pena

Simon Pena, Prirodovedecka fakulta, Masarykova Univerzita, Janackovo nam. 2a, 662 95 Brno, Czech Republic

Abstract: We investigate oscillation and spectral properties (sufficient conditions for discreteness and boundedness below of the spectrum) of difference operators $$ B(y)_{n+k} = {{(-1)}^n\over w_k} \Delta^n (p_k \Delta^n y_{k}). $$

Keywords: difference operator, property BD, discrete variational principle

Classification (MSC2000): 39A10

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