Geodesic
Criterion of $p$-criticality for one term $2n$-order difference operators
Archivum mathematicum, Tome 47 (2011) no. 2, pp. 99-109 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 39A10, 39A21, 39A70, 47B25
Keywords: one term difference operator; recessive system of solutions; $p$-critical operator; sub/supercritical operator 
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Hasil, Petr. Criterion of $p$-criticality for one term $2n$-order difference operators. Archivum mathematicum, Tome 47 (2011) no. 2, pp. 99-109. http://geodesic.mathdoc.fr/item/ARM_2011_47_2_a3/

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