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

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Authors

HASIL Petr

Year of publication 2011
Type Article in Periodical
Magazine / Source Archivum Mathematicum (Brno)
MU Faculty or unit

Faculty of Science

Citation
Web http://emis.muni.cz/journals/AM/11-2/am1946.pdf
Field General mathematics
Keywords sub/supercritical operator; p-critical operator; one term difference operator; recessive system of solutions
Description We investigate the criticality of the one term 2n-order difference operators. We explicitly determine the recessive and the dominant system of solutions of the equation given by such an operator. Using their structure we prove a criticality criterion.
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