Geodesic
Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2016), pp. 3-21

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

We consider nonlocal boundary-value problem for a system of hyperbolic equations with two independent variables. We investigate questions of existence of unique classical solution to problem under consideration. In terms of initial data we propose criteria of unique solvability and suggest algorithms of finding os solutions to nonlocal boundary-value problem. As an application we give conditions of solvability of periodic boundary-value problem for a system of hyperbolic equations.
Keywords: hyperbolic equation, nonlocal boundary-value problem, periodic problem, solvability, algorithm. 
@article{IVM_2016_5_a0,
     author = {A. T. Asanova},
     title = {Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--21},
     publisher = {mathdoc},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_5_a0/}
}
TY  - JOUR
AU  - A. T. Asanova
TI  - Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 3
EP  - 21
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_5_a0/
LA  - ru
ID  - IVM_2016_5_a0
ER  - 
%0 Journal Article
%A A. T. Asanova
%T Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 3-21
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2016_5_a0/
%G ru
%F IVM_2016_5_a0
A. T. Asanova. Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2016), pp. 3-21. http://geodesic.mathdoc.fr/item/IVM_2016_5_a0/