Electron. J. Diff. Eqns., Vol. 2006(2006), No. 87, pp. 1-16.

Restricted total stability and total attractivity

Giuseppe Zappala'

In this paper the new concepts of restricted total stability and total attractivity is formulated. For this purpose the classical theory of Malkin with suitable changes and the theory of limiting equations, introduced by Sell developed by Artstein and Andreev, are used. Significant examples are presented.

Submitted February 13, 2006. Published August 2, 2006.
Math Subject Classifications: 34D20, 34C25, 34A34.
Key Words: Stability; attractivity; persistent disturbance.

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Giuseppe Zappala'
Dipartimento di Matematica e Informatica dell'Università di Catania
Viale Doria 6, 95125 Catania, Italy
email: zappala@dmi.unict.it

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