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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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/

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