Work

Singularly Perturbed Equations with Analytic Functions

Year: 2025

Type: article

Abstract: In this work, we investigate the asymptotic behavior of solutions of first-order singularly perturbed equations with analytic functions in the general case. To study the asymptotics, methods of conformal mapping, level lines, and other asymptotic techniques are employed. The existence of boundary-layer lines and regions where limiting transitions occur is proved. A distinctive feature of the considered case is that the analysis is carried out without invoking the stability of equilibrium points or stationary points.

Source: Journal of Modern Mathematical Studies

DOI: 10.58649/5a8a3z28

Authors: Kurmanbek Sarmanovich Alybaev, Mairamgul Narbekovna Nurmatova

Institution: Jalalabad State University

Language: English

Topic: Singular Perturbation, Asymptotics and Difference Schemes

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7224323853

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