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.
Related projects:	Mathematical structures and their physical applications Diferenční rovnice a dynamické rovnice na time scales III