Under a small Lipschitz-type perturbation of a linear generalized ODE with exponential dichotomy, the nonlinear system has a Lipschitz stable invariant manifold, and all other solutions are unbounded.
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Stable invariant manifold for generalized ODEs with applications to measure differential equations
Under a small Lipschitz-type perturbation of a linear generalized ODE with exponential dichotomy, the nonlinear system has a Lipschitz stable invariant manifold, and all other solutions are unbounded.