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


AKHMET M. , Dauylbayev M., Mirzakulova A.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.1680-1685, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1704-19
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1680-1685

Özet

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.