Geodesic
Dezin nonlocal problem for a mixed-type equation with power degeneration
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3-4 (2016), pp. 24-31

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, for the equation of mixed elliptic-hyperbolic type with a power degeneracy on the transition line in a rectangular area are studied the problem Dezin with periodicity conditions and non-local condition, binding values of the normal derivative on the lower base of the rectangle with the value of the target solution on the line type of study. Necessary and sufficient conditions for the uniqueness of the solution were settled, and the uniqueness of the solution was proved problem on the based on completeness of the system of peculiar functions of one-problem or the peculiar.
Keywords: the degree of degeneracy, the transition line, rectangular area, the uniqueness of solution, one-dimensional problem, the uniqueness.
Mots-clés : nonlocal condition 
@article{VSGU_2016_3-4_a2,
     author = {V. A. Gushchina},
     title = {Dezin nonlocal problem for a mixed-type equation with power degeneration},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {24--31},
     publisher = {mathdoc},
     number = {3-4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2016_3-4_a2/}
}
TY  - JOUR
AU  - V. A. Gushchina
TI  - Dezin nonlocal problem for a mixed-type equation with power degeneration
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2016
SP  - 24
EP  - 31
IS  - 3-4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2016_3-4_a2/
LA  - ru
ID  - VSGU_2016_3-4_a2
ER  - 
%0 Journal Article
%A V. A. Gushchina
%T Dezin nonlocal problem for a mixed-type equation with power degeneration
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2016
%P 24-31
%N 3-4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2016_3-4_a2/
%G ru
%F VSGU_2016_3-4_a2
V. A. Gushchina. Dezin nonlocal problem for a mixed-type equation with power degeneration. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3-4 (2016), pp. 24-31. http://geodesic.mathdoc.fr/item/VSGU_2016_3-4_a2/