Abstract

Four new stability theorems for nonautonomous delayed equations are established by the Lyapunov–Razumikhin approach with functions and its derivatives semidefinite. To do this, assume the collection of right-hand side translations in time has limit points which govern limiting equations. A corollary, which relates global asymptotic stability for the equation to that for limiting equations, and an illustrative example are given to show the applications of the established theorems.

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