Asymptotic solutions of differential equations with singular impulses

Aviltay N., Akhmet M., Zhamanshin A.

Carpathian Journal of Mathematics, vol.40, no.3, pp.581-598, 2024 (SCI-Expanded) identifier identifier

  • 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.