Asymptotic solutions of differential equations with singular impulses
Carpathian Journal of Mathematics, cilt.40, sa.3, ss.581-598, 2024 (SCI-Expanded, Scopus)
- 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.