Asymptotic solutions of differential equations with singular impulses
Carpathian Journal of Mathematics, vol.40, no.3, pp.581-598, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 40 Issue: 3
- Publication Date: 2024
- Doi Number: 10.37193/cjm.2024.03.02
- Journal Name: Carpathian Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Page Numbers: pp.581-598
- Keywords: Differential equations with singular impulses, the method of boundary functions, the Vasil’eva theorem
- Middle East Technical University Affiliated: Yes
Abstract
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.