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arXiv · 0805.3811

Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems

Zhibin Yan
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Abstract

Convergence of the solutions of nonhomogeneous linear singularly perturbed systems to that of the corresponding reduced singular system on the half-line [0, $\infty $) 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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Zhibin Yan. 2008-05-25. Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems. https://arxiv.org/abs/0805.3811

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