Browsing by Author "Braverman, Elena"

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    On Global Stability of Nonlinear Systems With Unbounded and Distributed Delays and a Dominating Non-Delay Term
    (Elsevier, 2025) Braverman, Elena; Tunc, Cemil; Tunc, Osman
    A system with, generally, unbounded and non-continuous delays is considered as a perturbation of a linear non-delay system. Boundedness of solutions, stability, global asymptotic stability, uniform exponential stability are established with a variety of methods, including designing a Lyapunov-Krasovskii functional and integral transformations. The system incorporates a linear non-delay part and a sum of either linear or nonlinear terms, dependent on several time-variable delays. The dependency of the stability type on the delay properties is outlined and illustrated with examples.