Asymptotics of the Solutions of the Sturm-Liouville Equation with Singular Coefficients

We obtain asymptotic representations as lambda ->infinity in the upper and lower half-planes for the solutions of the Sturm-Liouville equation -y '' + p(x)y' + q(x)y = lambda(2)rho(x)y, x is an element of [a, b] subset of R, under the condition that q is a distribution of first-order singularity, rho is a positive absolutely continuous function, and p belongs to the space L-2[a, b].