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

Authors : Marat AKHMET, Murathan DAUYLBAEV, Aziza MIRZAKULOVA

Pages : 1680-1685

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Publication Date : 0000-00-00

Article Type : Research Paper

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