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In this paper, we prove the existence and uniqueness of strong solutions for high-order mixed-type problems with weighted integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.

- M. DENCHE, A. L. MARHOUNE
- 2001

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)

- M. Denche, A. L. Marhoune
- Appl. Math. Lett.
- 2000

- A. L. Marhoune
- Computers & Mathematics with Applications
- 2007

- A. Hameida, A. L. Marhoune
- 2012

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.

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