A Supplement to poincaré's theorem on difference equations

dc.contributor.author	Adukov V.	en
dc.date.accessioned	2018-10-15T11:17:24Z
dc.date.available	2018-10-15T11:17:24Z
dc.date.issued	2012
dc.identifier.issn	13118080
dc.identifier.uri	http://dspace.susu.ru/handle/0001.74/20002
dc.description.abstract	The second-order linear difference equation of Poincaré type u(n + 2) + (a + α (n))u(n + 1) + (b + β(n))u(n) = 0, n = 0, 1, . . . , with Buslaev's restrictions on coefficients lim sup n→∞n√ α(n)\| ≤ q < 1, limsup n→∞ n√β(n)\| ≤ q < 1 is considered. It is assumed that the characteristic roots of the equation have the same modulus. The set A of all accumulation points for the sequence {u(n+1) u(n) }∞n=0 for any nontrivial solutions of the equation is described. © 2012 Academic Publications, Ltd.	en]
dc.language.iso	English
dc.relation.ispartof	International Journal of Pure and Applied Mathematics	en]
dc.title	A Supplement to poincaré's theorem on difference equations	en
dc.type	Article	en]
dc.identifier.scopus	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864531854&partnerID=40&md5=eb00d3f554a222cd5c43f54777f5266b