A problem with nonlocal initial data for one-dimensional hyperbolic equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2014), pp. 17-26
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In this article we consider a boundary-value problem for hyperbolic equation with nonlocal initial data in integral form. We prove the existence and uniqueness of generalized solution.
Keywords:
hyperbolic equation, nonlocal problem, integral conditions, generalized solution.
@article{IVM_2014_9_a1,
author = {S. V. Kirichenko and L. S. Pul'kina},
title = {A problem with nonlocal initial data for one-dimensional hyperbolic equation},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {17--26},
publisher = {mathdoc},
number = {9},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2014_9_a1/}
}
TY - JOUR AU - S. V. Kirichenko AU - L. S. Pul'kina TI - A problem with nonlocal initial data for one-dimensional hyperbolic equation JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2014 SP - 17 EP - 26 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2014_9_a1/ LA - ru ID - IVM_2014_9_a1 ER -
S. V. Kirichenko; L. S. Pul'kina. A problem with nonlocal initial data for one-dimensional hyperbolic equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2014), pp. 17-26. http://geodesic.mathdoc.fr/item/IVM_2014_9_a1/