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Proceedings of the American Mathematical Society

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

 
 

 

On Markov stability


Author: Corrado Risito
Journal: Proc. Amer. Math. Soc. 72 (1978), 85-88
MSC: Primary 34D99; Secondary 34C25
DOI: https://doi.org/10.1090/S0002-9939-1978-0492632-8
MathSciNet review: 0492632
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Abstract: The concept of T-stability for vector-valued functions is introduced--a generalization of strong stability in the sense of Markov. Moreover, for solutions of T-periodic systems of differential equations, T-stability is compared with Liapunov stability and it is shown that boundedness and T-stability imply asymptotic almost periodicity.


References [Enhancements On Off] (What's this?)

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  • [2] A. M. Fink, Almost periodic differential equations, Lecture Notes in Math., vol. 377, Springer-Verlag, New York, 1974. MR 0460799 (57:792)
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  • [4] A. Halanay, Differential equations: Stability, oscillations, time lags, Academic Press, New York, 1966. MR 0216103 (35:6938)
  • [5] T. Yoshizawa, Stability theory and the existence of periodic solutions and almost periodic solutions, Appl. Math. Sci. 14, Springer-Verlag, New York, 1975. MR 0466797 (57:6673)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0492632-8
Article copyright: © Copyright 1978 American Mathematical Society

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