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A Geometric Approach to Global-Stability Problems
Michael Y. Li, James S. Muldowney
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Source: Crossref
Published: Jul 1, 1996
DOI: 10.1137/s0036141094266449
Open original source ↗Source abstract
A new criterion for the global stability of equilibria is derived for nonlinear autonomous ordinary differential equations in any finite dimension based on recent developments in higher-dimensional generalizations of the criteria of Bendixson and Dulac for planar systems and on a local version of the closing lemma of Pugh. The classical result of Lyapunov is obtained as a special case.
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