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Some General Instability Criteria for Ordinary Differential Equations

Published online by Cambridge University Press:  20 November 2018

T. A. Burton
T. A. Burton*
Affiliation:
University of Alberta, Edmonton
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We consider a system of differential equations

1

where 0 = (o, o) is an isolated singular point. Thus, there exists B > o such that S(0, B) contains only one singular point. Here, S(0, B) denotes a sphere centered at 0 with radius B. We shall denote the boundary of S(0, B) by ∂ S(0, B).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 4 , June 1965 , pp. 453 - 457
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Burton, T., A generalization of Liapunov' s Direct Method (unpublished Ph.D. thesis), Washington State University, Pullman, Washington, 1964.Google Scholar