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On the internal layer for a singularly perturbed system of second-order delay differential equations

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Abstract

We consider a nonlinear singularly perturbed boundary value problem with delay. By using the method of boundary functions and the theory of contrast structures, we prove the existence of a smooth solution with an internal transition layer and construct its uniform asymptotic expansion in a small parameter.

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Authors and Affiliations

  1. East China Normal University, Shanghai, China

    Mingkang Ni

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  1. Mingkang Ni
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Original Russian Text © Ni Mingkang, 2013, published in Differentsial’nye Uravneniya, 2013, Vol. 49, No. 8, pp. 971–984.

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Ni, M. On the internal layer for a singularly perturbed system of second-order delay differential equations. Diff Equat 49, 941–954 (2013). https://doi.org/10.1134/S001226611308003X

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  • DOI: https://doi.org/10.1134/S001226611308003X

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