Qualitative Theory of Dynamical Systems, cilt.23, sa.3, 2024 (SCI-Expanded)
In this paper, we consider the delay dynamic equation (Figure presented.) Based on Lyapunov’s method, we study global attractivity of the trivial solution of (∗). Our new result generalizes some well-known results in the theory of difference and differential equations to dynamic equations of the form (∗). We also present some examples on nonstandard time scales to illustrate the importance of the new result.