ABSTRACT
T heo re m 1. Let b(u) be a slowly varying function in the sense of Zygmund, of bounded variation on every segment [A, a], 0 < h < a, and let <p(t,z,u) satisfy the following conditions:
1) I (p(t, z yu)\ < M < oo, t e T , z e P, U e (0, a]; 2) va.r((p(t, z ,u) : 0 < u < a) < M , t G T, z G P; 3) (p(t, z, u) —► <p(t, z, 0 + 0) as u —>• 0 -h 0, uniformly in t and z.
