BISINGULARLY PERTURBED FIRST-ORDER EQUATION WITH A BIBOUNDARY LAYER
DOI:
https://doi.org/10.52754/16947452_2022_4_244Keywords:
biboundary layers, Cauchy problem, singular point, bisingular perturbation, ordinary differential equationAbstract
The paper investigates the Cauchy problem for a bisingularly perturbed linear inhomogeneous ordinary differential equation of the first order. The Cauchy problem under consideration has three features: the singular presence of a small parameter; the solution of the corresponding unperturbed equation has a first-order pole, and the Cauchy problem has a double boundary layer. The singular presence of a small parameter generates the classical boundary layer, and the singular point of the corresponding unperturbed equation generates the second boundary layer. As a result, we get a double boundary layer. For simplicity and understanding of the original research method and the concept of a double boundary layer, we present a detailed study of the simplest example.
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