Geodesic
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

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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. 
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     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},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a10/}
}
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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/