Geodesic
Criterion of $p$-criticality for one term $2n$-order difference operators
Archivum mathematicum, Tome 47 (2011) no. 2, pp. 99-109

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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.
Classification : 39A10, 39A21, 39A70, 47B25
Keywords: one term difference operator; recessive system of solutions; $p$-critical operator; sub/supercritical operator 
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     author = {Hasil, Petr},
     title = {Criterion of $p$-criticality for one term $2n$-order difference operators},
     journal = {Archivum mathematicum},
     pages = {99--109},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2011},
     mrnumber = {2813536},
     zbl = {1249.39001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2011__47_2_a3/}
}
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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/