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• W2051439685 abstract "In this paper we present a point of view which allows one to interpret the solutions of a non-autonomous differential equation as a classical dynamical system, without assuming uniqueness of solutions of the initial value problem. In addition we are able to construct a global flow without assuming the global existence of solutions of the given differential equations. This point of view seems appropriate in the sense that many applications of the results of classical topological dynamics to the study of the solutions of differential equations can now be performed, in a straight-forward manner, without the uniqueness assumption. We shall illustrate this claim with one important application concerning the existence of periodic or almost periodic solutions." @default.
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• W2051439685 date "1973-07-01" @default.
• W2051439685 modified "2023-09-26" @default.
• W2051439685 title "Differential equations without uniqueness and classical topological dynamics" @default.
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• W2051439685 doi "https://doi.org/10.1016/0022-0396(73)90075-2" @default.
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