Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions |
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| Authors: | Abdelfatah Bouziani |
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| Institution: | Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi, Oum El Bouagui, BP 565, 04000, Algeria |
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| Abstract: | In this paper, we deal with a class of pseudoparabolic problems with integral boundary conditions. We will first establish an a priori estimate. Then, we prove the existence, uniqueness and continuous dependence of the solution upon the data. Finally, some extensions of the problem are given. |
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