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Unstable invariant manifolds for a nonautonomous differential equation with nonautonomous unbounded delay

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  • In this paper we deal with a nonautonomous differential equation with a nonautonomous delay. The aim is to establish the existence of an unstable invariant manifold to this differential equation for which we use the Lyapunov-Perron transformation. However, the delay is assumed to be unbounded which makes it necessary to use nonclassical methods.
    Mathematics Subject Classification: Primary: 34C45, 34F05; Secondary: 37B55.


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