Geodesic
On a non-local boundary value problem for loaded differential equation with characteristic form of variable sign
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 40-45 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Non-local boundary value problem for loaded equation of parabolic type with the sign-variable characteristic form is solved. Common representation of solution is constructed. The theorems of common representation, existence and uniqueness of solution for boundary value problems set in rectangular domain are proved.
Keywords: loaded differential equation, regular solution, non-local boundary value problem, uniqueness
Mots-clés : occurence. 
@article{VSGTU_2011_123_2_a4,
     author = {A. A. Tokova},
     title = {On a~non-local boundary value problem for~loaded differential equation with characteristic form of~variable sign},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {40--45},
     year = {2011},
     volume = {123},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a4/}
}
TY  - JOUR
AU  - A. A. Tokova
TI  - On a non-local boundary value problem for loaded differential equation with characteristic form of variable sign
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2011
SP  - 40
EP  - 45
VL  - 123
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a4/
LA  - ru
ID  - VSGTU_2011_123_2_a4
ER  - 
%0 Journal Article
%A A. A. Tokova
%T On a non-local boundary value problem for loaded differential equation with characteristic form of variable sign
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2011
%P 40-45
%V 123
%N 2
%U http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a4/
%G ru
%F VSGTU_2011_123_2_a4
A. A. Tokova. On a non-local boundary value problem for loaded differential equation with characteristic form of variable sign. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 40-45. http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a4/

[1] Nakhushev A. M., “An approximate method for solving boundary value problems for differential equations and its application to the dynamics of ground moisture and ground water”, Differents. Uravneniya, 18:1 (1982), 72–81 | MR | Zbl

[2] Nakhushev A. M., “On the Darboux problem for a certain degenerate second-order loaded integro-differential equation”, Differents. Uravneniya, 12:1 (1976), 103–108 | MR | Zbl

[3] “On the first boundary value problem for a certain second-order loaded differential equation”, Dokl. Adygskoy (Cherkesskoy) Mezhdunarodnoy akademii nauk, 8:1 (2005), 87–91