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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on topological dynamics and limiting equations


Authors: S. M. Shamim Imdadi and M. Rama Mohana Rao
Journal: Proc. Amer. Math. Soc. 40 (1973), 154-158
MSC: Primary 34C35; Secondary 54H20
DOI: https://doi.org/10.1090/S0002-9939-1973-0322274-1
MathSciNet review: 0322274
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Abstract: A theorem on uniform asymptotic stability of the null solution of a system of differential equations is proved while assuming that the null solution of a limiting equation is uniformly asymptotically stable. This generalizes some of the results of L. Markus.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0322274-1
Keywords: Limiting equation, admissible function, regular function
Article copyright: © Copyright 1973 American Mathematical Society