Criticality of one term 2n-order self-adjoined differential equations

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Authors

VESELÝ Michal HASIL Petr

Year of publication 2012
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Web http://www.math.u-szeged.hu/ejqtde/p1090.pdf
Field General mathematics
Keywords p-critical operator; subcritical operator; principal system of solutions; one term differential operator
Description In this paper, we study the p-criticality (the existence of linear dependent principal solutions at infinity and minus infinity) of one term 2n-order differential equations. Using the structure of the principal system of solutions, we show the equivalent condition of p-criticality and subcriticality of these equations.
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