Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2017},
     number = {2},
     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
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
%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/

[1] Utkina E. A., About one partial equation of the fourth order, Differential equations, VINITI, 28.06.99, No 2059-B99, Minsk, 1999, 13 pp. (in Russian)

[2] Zegalov V. I., Mironov A. N., Differential equations with the senior partial derivatives, Kazanskoe matem. o-vo, Kazan, 2001, 226 pp. (in Russian)

[3] Pulkina L. S., Problems with nonclassical conditions for the hyperbolic equations, Samarskii universitet, Samara, 2012, 196 pp. (in Russian)

[4] Beylina N. V., “Nonlocal task with integral conditions for the pseudo-hyperbolic equation”, Vestnik of Samara State University, 2008, no. 2, 22–28 (in Russian)

[5] Kirichenko S. V., “Task with a nonlocal integral condition for the pseudo-hyperbolic equation of the fourth order”, Vestnik of Samara State University, 2014, no. 3, 42–51 (in Russian)

[6] Uldashev T. K., “About one mixed differential equation of the fourth order”, Proceedings of the Institute of Mathematics and Informatics at Udmurt State University, 2016, no. 1(47), 119–127 (in Russian)