About one nonlocal task for the equation of the fourth order with the dominating mixed derivative
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2017), pp. 26-31
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In the article the nonlocal task for the model equation from the dominating mixed derivative of the fourth order is considered. The unique solubility of an objective in which two of four conditions are nonlocal is proved and represent integrals both on a space variable, and on time variable. For the proof the new method based on equivalence of an objective and set of equations of the second order is offered.
Keywords:
pseudo-hyperbolic equation, nonlocal task, integral conditions, dominating derivative.
@article{VSGU_2017_2_a2,
author = {S. V. Kirichenko},
title = {About one nonlocal task for the equation of the fourth order with the dominating mixed derivative},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {26--31},
publisher = {mathdoc},
number = {2},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2017_2_a2/}
}
TY - JOUR AU - S. V. Kirichenko TI - About one nonlocal task for the equation of the fourth order with the dominating mixed derivative JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2017 SP - 26 EP - 31 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGU_2017_2_a2/ LA - ru ID - VSGU_2017_2_a2 ER -
%0 Journal Article %A S. V. Kirichenko %T About one nonlocal task for the equation of the fourth order with the dominating mixed derivative %J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ %D 2017 %P 26-31 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGU_2017_2_a2/ %G ru %F VSGU_2017_2_a2
S. V. Kirichenko. About one nonlocal task for the equation of the fourth order with the dominating mixed derivative. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2017), pp. 26-31. http://geodesic.mathdoc.fr/item/VSGU_2017_2_a2/