Nonlocal combined problem of Bitsadze--Samarski and Samarski--Ionkin type for a~system of pseudoparabolic equations
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 30-41
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We consider a boundary value problem for a fourth order system of pseudoparabolic equations with discontinuous coefficients and with conditions Bicadze–Samarsky and Samarsky–Ionkin. We find integral representation for a functions in the Sobolev space, which allows one to recover it through the values of certain operators (defining operators), taken at the function. We also justify formulation of the Goursat problem with nonclassical boundary conditions.
@article{VMJ_2014_16_1_a3,
author = {I. G. Mamedov},
title = {Nonlocal combined problem of {Bitsadze--Samarski} and {Samarski--Ionkin} type for a~system of pseudoparabolic equations},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {30--41},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a3/}
}
TY - JOUR AU - I. G. Mamedov TI - Nonlocal combined problem of Bitsadze--Samarski and Samarski--Ionkin type for a~system of pseudoparabolic equations JO - Vladikavkazskij matematičeskij žurnal PY - 2014 SP - 30 EP - 41 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a3/ LA - ru ID - VMJ_2014_16_1_a3 ER -
%0 Journal Article %A I. G. Mamedov %T Nonlocal combined problem of Bitsadze--Samarski and Samarski--Ionkin type for a~system of pseudoparabolic equations %J Vladikavkazskij matematičeskij žurnal %D 2014 %P 30-41 %V 16 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a3/ %G ru %F VMJ_2014_16_1_a3
I. G. Mamedov. Nonlocal combined problem of Bitsadze--Samarski and Samarski--Ionkin type for a~system of pseudoparabolic equations. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 30-41. http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a3/