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Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions

Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions

From the work of C. Conley, it is known that the omega limit set of a precompact orbit of an autonomous semiflow is a chain recurrent set. Here, we improve a result of L. Markus by showing that the omega limit set of a solution of an asymptotically autonomous semiflow …