The behavior of solutions of the differential equation y′′′ + p(x)y′ + q(x)y = 0

y"> + p(x)yf + q(x)y = 0 . Throughout, we shall assume that p(x) and q(x) are continuous and do not change sign on the infinite half-axis I: a ^ x 0, (ii) p(x)^0, q(x)^0, (iii) p(x) § 0, q(x) ^ 0, and shall show that under certain conditions the solutions of (L) have similar qualitative properties as in the cases when p(x) and q(x) are nonzero constants. It is for this reason that we list the following remarks which characterize these cases when p(x) and q(x) are nonzero constants.