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Keywords:
discrete spectrum; property BD; discrete variational principle; discrete Wirtinger’s inequality; singular difference operators; oscillation; difference operator
discrete spectrum; property BD; discrete variational principle; discrete Wirtinger’s inequality; singular difference operators; oscillation; difference operator
Summary:
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).
References:
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