Discrete spectra criteria for singular difference operators
Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 35-44

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MR Zbl
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).
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).
DOI : 10.21136/MB.1999.125980
Classification : 39A10, 39A11, 39A70, 47A10, 47B39
Keywords: discrete spectrum; property BD; discrete variational principle; discrete Wirtinger’s inequality; singular difference operators; oscillation; difference operator
Peňa, Simón. Discrete spectra criteria for singular difference operators. Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 35-44. doi: 10.21136/MB.1999.125980
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