无准调性条件的多根情况下具有不同强度非线性源的反应扩散系统

IF 0.4 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Moscow University Physics Bulletin Pub Date : 2024-03-10 DOI:10.3103/s0027134923060164

R. E. Simakov

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引用次数: 0

摘要

摘要研究了两个二阶常微分方程的奇异扰动系统的边界值问题，该系统的二阶导数处有一个小参数的不同幂。该问题的具体特征是退化系统的两个方程中的一个有双根。研究证明，对于足够小的小参数值，问题具有边界层类型的解。我们得到了一个条件，它取代了准单调性条件，扩大了工作结果适用的问题类别。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Reaction-Diffusion Systems with Nonlinear Sources of Different Intensities in the Case of Multiple Root without Quasimonotonicity Condition

Abstract

The boundary value problem for a singularly perturbed system of two second-order ordinary differential equations with different powers of a small parameter at the second derivatives is considered without requiring the right-hand sides to be quasimonotonic. The specific feature of the problem is that one of the two equations of the degenerate system has a double root. It is proven that for sufficiently small values of a small parameter, the problem has a boundary layer type solution. A condition has been obtained that replaces the quasimonotonicity condition and expands the class of problems to which the results of the work are applicable.

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来源期刊

Moscow University Physics Bulletin PHYSICS, MULTIDISCIPLINARY-

CiteScore

0.70

自引率

0.00%

发文量

129

审稿时长

6-12 weeks

期刊介绍： Moscow University Physics Bulletin publishes original papers (reviews, articles, and brief communications) in the following fields of experimental and theoretical physics: theoretical and mathematical physics; physics of nuclei and elementary particles; radiophysics, electronics, acoustics; optics and spectroscopy; laser physics; condensed matter physics; chemical physics, physical kinetics, and plasma physics; biophysics and medical physics; astronomy, astrophysics, and cosmology; physics of the Earth’s, atmosphere, and hydrosphere.