Tikhonov theorem for differential equations with singular impulses

AKHMET M., Çağ S.

Discontinuity, Nonlinearity, and Complexity, vol.7, no.3, pp.291-303, 2018 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.5890/dnc.2018.09.007
  • Journal Name: Discontinuity, Nonlinearity, and Complexity
  • Journal Indexes: Scopus
  • Page Numbers: pp.291-303
  • Keywords: Singular differential equations, Singular impulsive functions, Tikhonov theorem
  • Middle East Technical University Affiliated: Yes

Abstract

© 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.