Аннотации:
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.
