Unpredictable solutions of compartmental quasilinear differential equations

AKHMET M., Tleubergenova M., Zhamanshin A.

Carpathian Journal of Mathematics, cilt.40, sa.1, ss.1-13, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37193/cjm.2024.01.01
  • Dergi Adı: Carpathian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: compartmental periodic unpredictable functions, degree of periodicity, kappa property, quasilinear differential equations, unpredictable functions
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.