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

Date

2018-01-01

Author

Akhmet, Marat
Dauylbayev, Muratkhan
Mirzakulova, Aziza

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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.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/35114

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1704-19

Collections

Department of Mathematics, Article

Citation Formats

M. Akhmet, M. Dauylbayev, and A. Mirzakulova, “A singularly perturbed differential equation with piecewise constant argument of generalized type,” TURKISH JOURNAL OF MATHEMATICS, vol. 42, no. 4, pp. 1680–1685, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35114.