A study on approximate controllability of linear impulsive equations in Hilbert spaces

Mahmudov N. I.

QUAESTIONES MATHEMATICAE, vol.47, no.9, pp.1791-1806, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 9
  • Publication Date: 2024
  • Doi Number: 10.2989/16073606.2024.2345287
  • Journal Name: QUAESTIONES MATHEMATICAE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1791-1806
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper, we study an approximate controllability for the impulsive linear evolution equations in Hilbert spaces. We give a representation of solution in terms of semigroup and impulsive operators. We present the necessary and sufficient conditions for approximate controllability of linear impulsive evolution equation in terms of impulsive resolvent operator. An example is provided to illustrate the application of the obtained results.