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Proceedings of the American Mathematical Society

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On a converse result for Perron's theorem for asymptotic stability for nonlinear differential equations


Author: George Seifert
Journal: Proc. Amer. Math. Soc. 99 (1987), 733-736
MSC: Primary 34D20; Secondary 34D05
DOI: https://doi.org/10.1090/S0002-9939-1987-0877048-X
MathSciNet review: 877048
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Abstract: Two fairly simple proofs of a converse of Perron's classical theorem for the exponential asymptotic stability of the trivial solution of a nonlinear system of ordinary differential equations are given.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0877048-X
Article copyright: © Copyright 1987 American Mathematical Society