Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 112-123
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T. K. Yuldashev. Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 112-123. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a10/
@article{ZVMMF_2012_52_1_a10,
author = {T. K. Yuldashev},
title = {Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {112--123},
year = {2012},
volume = {52},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a10/}
}
TY - JOUR
AU - T. K. Yuldashev
TI - Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2012
SP - 112
EP - 123
VL - 52
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a10/
LA - ru
ID - ZVMMF_2012_52_1_a10
ER -
%0 Journal Article
%A T. K. Yuldashev
%T Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 112-123
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a10/
%G ru
%F ZVMMF_2012_52_1_a10
We study the questions of one-valued solvability of mixed value problem for nonlinear integro-differential equation, consisting a parabolic operator of higher power. By the aid of Fourier series of separation variables the considering problem we can reduce to study the countable system of nonlinear integral equations, one-valued solvability of which will be proved by the method of successive approximations. The convergence of Fourier series will be studied by means of integral identity.
