A. L. Marhoune

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We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem. 2000 Mathematics Subject Classification.(More)
In this work we study a mixed problem with an integral space variable condition for a parabolic equation of mixed type. The existence and uniqueness of the solution in functional weighed Sobolev space are proved. The proof is based on two sided a priori estimates and the density of the range of the operator generated by the considered problem. AMS Subject(More)
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