Braverman, ElenaTunc, CemilTunc, Osman2025-05-102025-05-1020251007-57041878-727410.1016/j.cnsns.2025.1085902-s2.0-85214660764https://doi.org/10.1016/j.cnsns.2025.108590https://hdl.handle.net/20.500.14720/11170Tunc, Cemil/0000-0003-2909-8753; Tunc, Osman/0000-0003-2965-4561A 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.eninfo:eu-repo/semantics/openAccessSystems Of Nonlinear Delay DifferentialEquationsTime-Varying DelaysGlobal StabilityBoundednessMatrix MeasureArticle