Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power

被引：0
|
作者：
T. K. Yuldashev
机构：
[1] SibSAU,
来源：
Computational Mathematics and Mathematical Physics | 2012年 / 52卷
关键词：
parabolic operator of higher power; Fourier series; integral identity; generalized derivatives; countable system of nonlinear integral equations; method of successive approximations;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：105 / 116
页数：11
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