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Extension of Nonlocal Continuation and Boundedness Theory for Polynomial Systems

Abstract

In this paper we shall extend a number of results concerning the boundedness and nonlocal continuation of differential equations with sublinear bounds to ones with polynomial vector fields. We shall also show that the solution of many kinds of equations can be obtained as the limit of a sequence of time-varying linear approximations and use this to derive boundedness and stability results. These results directly generalise those of [1]

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