Geodesic
A priori estimates of the solutions of nonlocal boundary value problems for a~pseudo-parabolic equation
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 19-36

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In this paper we consider nonlocal boundary value problems for a third order pseudo-parabolic equation with variable coefficients in the one-dimensional and multidimensional cases. For nonlocal problems a priori estimates in differential and difference treatment are obtained. These estimates imply uniqueness, stability and convergence of the solution of the difference problem to the solution of the differential problem. 
@article{VMJ_2013_15_3_a2,
     author = {M. H. Beshtokov},
     title = {A priori estimates of the solutions of nonlocal boundary value problems for a~pseudo-parabolic equation},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {19--36},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a2/}
}
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M. H. Beshtokov. A priori estimates of the solutions of nonlocal boundary value problems for a~pseudo-parabolic equation. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 19-36. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a2/