Dynamical analysis of semigroups for Lasota-type equations in a new functional space

Authors

  • El-mahdi Nafia Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O Box 532, Beni Mellal, 23000, Morocco. Author
  • Abdellah Taqbibt Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O Box 532, Beni Mellal, 23000, Morocco. Author https://orcid.org/0000-0001-5650-1988
  • M’hamed El Omari Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O Box 532, Beni Mellal, 23000, Morocco. Author https://orcid.org/0000-0002-4256-1434

DOI:

https://doi.org/10.2298/FIL2609397N

Keywords:

Chaotic dynamics,, Lasota equation, , Stability Analysis, , Morrey space.

Abstract

We examine the asymptotic properties of the dynamical system associated with the Lasota equation. We provide conditions for its stability as well as for chaos in the sense of Devaney within Morrey spaces. Additionally, we explore the criteria under which the asymptotic behavior extends to a more general form of the equation. This work notably generalizes the asymptotic results previously established for the von Foerster–Lasota equation in $L^{p}$ spaces.

Author Biographies

  • Abdellah Taqbibt, Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O Box 532, Beni Mellal, 23000, Morocco.

    Professor at Sultan Moulay Slimane University, Beni Mellal, Morocco.

  • M’hamed El Omari, Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O Box 532, Beni Mellal, 23000, Morocco.

    Professor at Sultan Moulay Slimane University, Beni Mellal, Morocco.

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Published

2026-04-15

Issue

Vol. 40 No. 09 (2026)

Section

Articles