Counting uniformly attracting solutions of nonautonomous differential equations (Q932376)

The author studies the question how many uniformly attracting solutions a given nonautonomous differential equations has. As examples in the paper show, there can be infinitely many such solutions, even if the right hand side is real-analytic and one only counts solutions in a certain compact subset of the phase space. Only finitely many uniformly attracting solutions, however, exist in the case when the right hand side is period, asymptotically autonomous or a polynomial with bounded time-dependent coefficients.