Geodesic
On convergence of the iterative process for the third order pseudo-parabolic equation with nonlocal boundary value conditions in a multidimensional domain
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 113-119

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In this paper the nonlocal boundary value problem for the pseudo-parabolic equation of the third-order in a multidimensional domain is considered. Using an iterative method, the solving process of the nonlocal boundary value problem is reduced to solving the series of some local problems. An a priori estimate for the convergence of the iterative method in the norm $W^1_2(G)$ is obtained.
Keywords: boundary value problems, a priori estimate, iteration process, third order equation
Mots-clés : nonlocal condition, pseudo-parabolic equation. 
@article{VSGTU_2013_2_a12,
     author = {M. H. Beshtokov},
     title = {On convergence of the iterative process for the third order pseudo-parabolic equation with nonlocal boundary value conditions in a multidimensional domain},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {113--119},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a12/}
}
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M. H. Beshtokov. On convergence of the iterative process for the third order pseudo-parabolic equation with nonlocal boundary value conditions in a multidimensional domain. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 113-119. http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a12/