A singularly perturbed differential equation with piecewise constant argument of generalized type

Authors: MARAT AKHMET, MURATHAN DAUYLBAEV, AZIZA MIRZAKULOVA

Abstract: The paper considers the extension of Tikhonov Theorem for singularly perturbed differential equation with piecewise constant argument of generalized type. An approximate solution of the problem has been obtained. A new phenomenon of humping has been observed in the boundary layer area. An illustrative example with simulations is provided.

Keywords: Piecewise constant argument of generalized type, small parameter, singular perturbation, approximate solution, humping in the boundary layer area

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