A three dimensional boundary value problem for equations of Keldysh type involving lower order terms is studied. This problem is not correctly set, since it has an infinite-dimensional co-kernel. In order to avoid the infinite number of necessary conditions for classical solvability a notion for generalized solution is given. For small power of degeneration m ∈ (0, 1) results of existence and uniqueness of such solution are obtained, without supposing any vanishing conditions on parabolic part of the boundary for first order terms. This result corresponds with so called Protter condition for 3-D problems originally formulated by M. Protter for Tricomi type equations.
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