Geodesic
A nonlocal problem with integral condition for a fourth order equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3-4 (2016), pp. 32-50

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In this paper we consider initial-boundary problems with integral conditions for certain fourth order equation. Unique solvability of posed problems is proved. The proof is based on apriori estimates, regularization method, auxiliary problems method, embedding theorems.
Keywords: equation of 4-th order, embedding theorems, generalized solution
Mots-clés : nonlocal conditions, Sobolev spaces. 
@article{VSGU_2016_3-4_a3,
     author = {V. B. Dmitriev},
     title = {A nonlocal problem with integral condition for a fourth order equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {32--50},
     publisher = {mathdoc},
     number = {3-4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2016_3-4_a3/}
}
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V. B. Dmitriev. A nonlocal problem with integral condition for a fourth order equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3-4 (2016), pp. 32-50. http://geodesic.mathdoc.fr/item/VSGU_2016_3-4_a3/