Unpredictable solutions of compartmental quasilinear differential equations

AKHMET M., Tleubergenova M., Zhamanshin A.

Carpathian Journal of Mathematics, vol.40, no.1, pp.1-13, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.37193/cjm.2024.01.01
  • Journal Name: Carpathian Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.1-13
  • Keywords: compartmental periodic unpredictable functions, degree of periodicity, kappa property, quasilinear differential equations, unpredictable functions
  • Middle East Technical University Affiliated: Yes

Abstract

In the present research, quasilinear differential equations with compartmental periodic unpredictable coefficients and perturbations are investigated. The compartmental periodic unpredictable functions present a new type of recurrency. The problem of existence and uniqueness of unpredictable solutions is studied for the systems. Numerical simulations which illustrate chaotic and periodic behavior in outputs of the dynamics are provided.