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On the Study to a Type of Singularly Perturbed Boundary Value Problem With Two Double Roots of the Degenerate Equation

Year: 2025

Type: article

Abstract: This paper addresses a singularly perturbed boundary value problem where the degenerate equation has three distinct roots: two double roots and one simple root. It is shown that for a sufficiently small parameter, the solution of the problem switches between the two double roots in a neighborhood of the transition point. As a result, the inner layer can be divided into multiple regions. An asymptotic expansion is constructed, and the existence of smooth solutions is established. Additionally, an estimate for the remainder term is provided.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240352

Authors: Ruixiang Li, Mingkang Ni

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533617

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