Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type

Tleubergenova M., Çinçin D. A., Nugayeva Z., AKHMET M.

Carpathian Journal of Mathematics, vol.39, no.1, pp.265-280, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.37193/cjm.2023.01.18
  • Journal Name: Carpathian Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.265-280
  • Keywords: quasilinear differential equation, unpredictable solution, piecewise constant argument of generalized type, delayed and advanced argument, Poincare?chaos, exponential stability, NEURAL-NETWORKS, POINCARE CHAOS, STABILITY
  • Middle East Technical University Affiliated: Yes

Abstract

© 2023, SINUS Association. All rights reserved.An unpredictable solution is found for a quasilinear differential equation with generalized piece-wise constant argument (EPCAG). Sufficient conditions are provided for the existence, uniqueness and exponential stability of the unpredictable solution. The theoretical results are confirmed by examples and illustrated by simulations.