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

AKHMET M., Dauylbayev M., Mirzakulova A.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.4, ss.1680-1685, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1704-19
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1680-1685
  • Anahtar Kelimeler: Piecewise constant argument of generalized type, small parameter, singular perturbation, approximate solution, humping in the boundary layer area
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.