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

页码：375 / 381

页数：7

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