Dynamic Equations with Modulo Periodic Poisson Stable Oscillations on Periodic Time Scales

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Fen F., Fen M. O.

The Third International Conference on Applied Mathematics in Engineering, Balıkesir, Turkey, 26 - 28 June 2024, pp.54, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Balıkesir
  • Country: Turkey
  • Page Numbers: pp.54
  • TED University Affiliated: Yes

Abstract

The notion of modulo periodic Poisson stable solutions was first introduced by Akhmet et al. [1]. In this study, modulo periodic Poisson stable functions on time scales are defined, and the existence and uniqueness of such solutions in dynamic equations on a periodic time scale are investigated. The model under consideration is constructed by implementing a perturbation attained through a Poisson stable sequence. The main result is achieved via the reduction technique to impulsive systems proposed in [2].