Asymptotic Analysis for the Singularly Perturbed Initial Value Problem with Degenerate Equation Having Triple Root

• Chen, Songlin ^[1] ; Zhang, Ruirui ^[1]
  1. [1] Anhui University of Technology

     Anhui University of Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 1, 2018, págs. 91-101
• Idioma: inglés
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• Resumen

  • In this paper, we study the asymptotic behavior of the initial value problem for the singularly perturbed first order nonlinear differential equation with degenerate equation having triple root. In order to obtain a more precise description of the boundary layer, the modified method of boundary layer function is chosen to construct the boundary layer function possessing the behavior of exponential decay characteristic, and then the asymptotic solution is constructed and used to prove that the formal asymptotic solution is uniformly valids.