Tikhonov theorem for differential equations with singular impulses

AKHMET M., Çağ S.

Discontinuity, Nonlinearity, and Complexity, cilt.7, sa.3, ss.291-303, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5890/dnc.2018.09.007
  • Dergi Adı: Discontinuity, Nonlinearity, and Complexity
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.291-303
  • Anahtar Kelimeler: Singular differential equations, Singular impulsive functions, Tikhonov theorem
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 2018 L & H Scientific Publishing, LLC.The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The most general Tikhonov theorem for the impulsive systems is obtained. Illustrative examples with simulations are given to support the theoretical results.