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

被引：0
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作者：
R. S. Makin
机构：
[1] Ul’yanovsk State University,Dimitrovgrad Branch
来源：
Mathematical Notes | 2011年 / 90卷
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;
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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.
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