q(O, ~=qo(x)#O; p(O, x)=po(~#O if p(z, x)~O. The case when p(z, x)~O, q~, ~=c 2 is constant is studied in [i]. It is proved that to each function v0(x) which is holomorphic in ~ in a neighborhood of zero there corresponds an analytic solution u(z, x) of (i) which at the point z = 0 has an essential singularity and can be represented in the form of a sum of Laplace integrals. The existence of an asymptotic solution is proved and its expansion is given. In [2] the representation of solutions as Laplace integrals is studied in general for even n < 2m and for any n~2m. In the present paper it will be proved that in the statements made above, to each function v0(x) which is holomorphic in ~ there corresponds a solution of (I) which is analytic in a neighborhood of z = 0 which at the point z = 0 has an essential singularity and can be represented in the form of a sum of Laplace integrals. The existence of an asymptotic solution will also be proved and recursion formulas will be given for calculating the coefficients of the asymptotic decomposition. We shall study (i) in the case not included in [2], i.e., we shall assume that n~3 is odd and either n < 2m or p(z, x) E 0~ We make the change of variables z=z~, u(z, x)=Vz~ul(zl, x). (3) Then (cf. [3]) for the function u1(z l, x) we get the differential equation