Resumen de A Test for Global Attractivity of Linear Dynamic Equations with Delay

Nour H.M. Alsharif, Basak Karpuz

• In this paper, we consider the delay dynamic equation x(t) + p(t)x τ (t) = 0 for t ∈ [t0,∞)T. (∗) 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.