- Turkish Journal of Mathematics
- Vol: 42 Issue: 4
- A singularly perturbed differential equation with piecewise constant argument of generalized type
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 : 9999-12-31
Article Type : Makaleler
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