In this paper it is proved a conjecture of G. Sell. That is it is proved that if the r.h.s. of the equation satisfies a Lipschitz condition uniform in t and if all the limiting equations satisfy a property of uniform asymptotic stability, the same property is satisfied by the given equation. Furthermore results on total stability are obtained for asymptotically autonomous equations.
Limiting equations in the stability problem / P., Bondi; V., Moauro; Visentin, Francesca. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 1 (2):(1976), pp. 201-210.
Limiting equations in the stability problem.
VISENTIN, FRANCESCA
1976
Abstract
In this paper it is proved a conjecture of G. Sell. That is it is proved that if the r.h.s. of the equation satisfies a Lipschitz condition uniform in t and if all the limiting equations satisfy a property of uniform asymptotic stability, the same property is satisfied by the given equation. Furthermore results on total stability are obtained for asymptotically autonomous equations.File in questo prodotto:
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