Written by:ŞEVVAL HATİCE ÖTER
Department of Mathematics UNDERGRADUATE THESIS
Thesis Advisor:Prof. Canan ÇELİK KARAASLANLI
İSTANBUL, 2025
This thesis was primarily written in LaTeX. Since it is difficult to display mathematical formulas and other structures on this blog, screenshots from the PDF have been included.
where:
• Its time derivative is non-positive.
Thus, the system satisfies the criteria for Lyapunov stability. This stability analysis demon-
strates that the neural differential equation model converges to a stable equilibrium, making it
suitable for applications requiring robust and predictable dynamics