Publications
Article · TURKISH JOURNAL OF MATHEMATICS · July 24, 2018
A singularly perturbed differential equation with piecewise constant argument of generalized type
Marat U. Akhmet, M. K. Dauylbayev, A. E. 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.
Differential Equations and Numerical MethodsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problemssingularly perturbed differential equationsTikhonov theoremboundary layer
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