Conjugacy of self-adjoint difference equations of even order

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Authors	HASIL Petr
Year of publication	2011
Type	Article in Periodical
Magazine / Source	Abstr. Appl. Anal.
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.hindawi.com/journals/aaa/2011/814962/
Field	General mathematics
Keywords	sub/supercritical operator; p-critical operator; difference operator; difference equation; recessive system of solutions; conjugacy of difference equation
Description	We study oscillation properties of 2n-order Sturm-Liouville difference equations. For these equations we show a conjugacy criterion using the p-criticality (the existence of linear dependent recessive solutions at minus and plus infinity). We also show the equivalent condition of p-criticality for one term 2n-order equations.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III