On the existence of solutions of a nonlinear integro-differential system of transport equations

被引：0
|
作者：
Makin, R. S. [1 ]
机构：
[1] Ulyanovsk State Univ, Dimitrovgrad Branch, Ulyanovsk, Russia
来源：
MATHEMATICAL NOTES | 2011年 / 90卷 / 1-2期
关键词：
nonlinear integro-differential system; transport equations; inhomogeneous distributed media; Banach space; Lyapunov surface; diffusion operator; Sobolev space; Cauchy problem; Gronwall-Bellman lemma;
D O I：
10.1134/S000143461107011X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the system of equations describing transport processes in inhomogeneous distributed media, such as those in nuclear reactors. For a given system of equations, a mixed problem is posed. Under certain conditions on the initial data, we prove the global solvability of the problem in the weak generalized sense by using the standard scheme of nonlinear functional analysis.
引用
收藏
页码：102 / 124
页数：23
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