Asymptotic stability in functional-differential equations by Liapunov functionals
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- by Bo Zhang PDF
- Trans. Amer. Math. Soc. 347 (1995), 1375-1382 Request permission
Abstract:
We consider the asymptotic stability in a system of functional differential equations $x’(t) = F(t,{x_t})$ by Liapunov functionals $V$. The work generalizes some well-known results in the literature in that we only require the derivative of $V$ to be negative definite on a sequence of intervals ${I_n} = [{S_n},{t_n}]$. We also show that it is not necessary to require a uniform upper bound on $V$ for nonuniform asymptotic stability.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 1375-1382
- MSC: Primary 34K20
- DOI: https://doi.org/10.1090/S0002-9947-1995-1264834-9
- MathSciNet review: 1264834