Criterion of $p$-criticality for one term $2n$-order difference operators

Hasil, Petr. "Criterion of $p$-criticality for one term $2n$-order difference operators." Archivum Mathematicum 047.2 (2011): 99-109. <http://eudml.org/doc/116538>.

@article{Hasil2011,
abstract = {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.},
author = {Hasil, Petr},
journal = {Archivum Mathematicum},
keywords = {one term difference operator; recessive system of solutions; $p$-critical operator; sub/supercritical operator; one term difference operator; recessive system of solutions; -critical operator; difference operator convergence; divergence},
language = {eng},
number = {2},
pages = {99-109},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Criterion of $p$-criticality for one term $2n$-order difference operators},
url = {http://eudml.org/doc/116538},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Hasil, Petr
TI - Criterion of $p$-criticality for one term $2n$-order difference operators
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 2
SP - 99
EP - 109
AB - 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.
LA - eng
KW - one term difference operator; recessive system of solutions; $p$-critical operator; sub/supercritical operator; one term difference operator; recessive system of solutions; -critical operator; difference operator convergence; divergence
UR - http://eudml.org/doc/116538
ER -