We study oscillation properties of -order Sturm-Liouville difference equations. For these equations, we show a conjugacy criterion using the -criticality (the existence of linear dependent recessive solutions at and ). We also show the equivalent condition of -criticality for one term -order equations.
Petr Hasil. "Conjugacy of Self-Adjoint Difference Equations of Even Order." Abstr. Appl. Anal. 2011 (SI1) 1 - 16, 2011. https://doi.org/10.1155/2011/814962