A Test for Global Attractivity of Linear Dynamic Equations with Delay

• Autores: Nour H.M. Alsharif, Basak Karpuz
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
• Enlaces
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• Resumen

  • 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.

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