Extension of Nonlocal Continuation and Boundedness Theory for Polynomial Systems
Banks, S.P.
(1997)
Extension of Nonlocal Continuation and Boundedness Theory for Polynomial Systems.
Research Report.
ACSE Research Report 698
.
Department of Automatic Contro andl Systems Engineering
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].
Metadata
Item Type:
Monograph
Authors/Creators:
Banks, S.P.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
Keywords:
Nonlinear differential equations; Global continuation; Polynomial systems
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