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Proceedings of the American Mathematical Society

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

 

 

Total stability for neutral functional differential equations


Authors: A. F. Izé and A. A. Freiria
Journal: Proc. Amer. Math. Soc. 81 (1981), 437-442
MSC: Primary 34K20
DOI: https://doi.org/10.1090/S0002-9939-1981-0597658-1
MathSciNet review: 597658
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Abstract: The basic idea of this work is to use Lyapunov functionals to show that for neutral functional differential equations, uniform asymptotic stability implies total stability.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0597658-1
Keywords: Lyapunov functional, neutral functional differential equation, uniform stability, uniformly stable $ D$ operator, uniform asymptotic stability, total stability
Article copyright: © Copyright 1981 American Mathematical Society