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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An asymptotic stability and a uniform asymptotic stability for functional-differential equations


Author: Younhee Ko
Journal: Proc. Amer. Math. Soc. 119 (1993), 535-545
MSC: Primary 34K20
MathSciNet review: 1169036
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Abstract: We consider a system of functional differential equation $ {x'}(t) = F(t,{x_t})$ and obtain conditions on a Liapunov functional to ensure the asymptotic stability and the uniform asymptotic stability of the zero solution.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1169036-6
PII: S 0002-9939(1993)1169036-6
Keywords: Functional differential equations, Liapunov functionals, asymptotic stability, uniform asymptotic stability
Article copyright: © Copyright 1993 American Mathematical Society