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Keywords:
one term difference operator; recessive system of solutions; $p$-critical operator; sub/supercritical operator
one term difference operator; recessive system of solutions; $p$-critical operator; sub/supercritical operator
Summary:
We investigate the criticality of the one term $2n$-order difference operators $l(y)_k = \Delta ^n (r_k \Delta ^n y_k)$. We explicitly determine the recessive and the dominant system of solutions of the equation $l(y)_k = 0$. Using their structure we prove a criticality criterion.
References:
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