In this paper, the residue method of separation of variables is applied to a mixed problem which includes the flow of a stratified compresslble fluid and inner gravitational waves of a stratified incompressible fluid for special values of the coefficients of the equation. To apply this method one defines two auxiliary problems. The first one is a spectral problem and the second is a Cauchy problem. Using the solutions of auxiliary problems, an existence and uniqueness theorem is proved for the given mixed problem.
MAMEDOV, Y. A. and CAN, M. (1996) "APPLICATION OF THE RESIDUE METHOD TO A MIXED PROBLEM," Turkish Journal of Mathematics: Vol. 20: No. 3, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol20/iss3/2