Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition

被引：0
作者：
Nefedov, N. N. [1 ]
Nikitin, A. G. [1 ]
Nikulin, E. I. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow, Russia
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 30卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
REACTION-DIFFUSION EQUATION; DIFFERENTIAL-INEQUALITIES;
D O I：
10.1134/S1061920823030081
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction-diffusion processes with due account of nonlocal interactions. The principal feature of the problem is the presence of a singularly perturbed Neumann condition describing intense flows on the boundary. We prove that there exists a boundary-layer solution, construct its asymptotic approximation, and establish its asymptotic Lyapunov stability. Illustrative examples are given.
引用
收藏
页码：375 / 381
页数：7
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