Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems

2008/05/25 by Zhibin Yan, Yan, Zhibin
Engineering · Mathematics · #34A09 #34A30 #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Heat Transfer and Mathematical Modeling #Material Science and Thermodynamics #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.0805.3811

openalex publication_date 2008/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Convergence of the solutions of nonhomogeneous linear singularly perturbed systems to that of the corresponding reduced singular system on the half-line [0, ∞ ) is considered. To include the situation on a neighborhood of initial instant, a boundary layer, a distributional approach to convergence is adopted. An explicit analytical expression for the limit as a distribution is proved.

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