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Some General Instability Criteria for Ordinary Differential Equations
Published online by Cambridge University Press: 20 November 2018
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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).
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- Research Article
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- 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Burton, T., A generalization of Liapunov' s Direct Method (unpublished Ph.D. thesis), Washington State University, Pullman, Washington, 1964.Google Scholar
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