Asymptotic solutions of differential equations with singular impulses

Aviltay N., Akhmet M., Zhamanshin A.

Carpathian Journal of Mathematics, cilt.40, sa.3, ss.581-598, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37193/cjm.2024.03.02
  • Dergi Adı: Carpathian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.581-598
  • Anahtar Kelimeler: Differential equations with singular impulses, the method of boundary functions, the Vasil’eva theorem
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied to obtain the main result. Examples with simulations confirming the theoretical results are given.