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Exponential stability of difference equations which cannot be linearized

Francesco S. De BlasiJohn Schinas — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si considera l'equazione Δ x ( t ) = F ( x ( t - 1 ) ) e si dimostra che, se f ha differenziale multivoco D f in x = 0 e tutte le soluzioni di Δ x ( t ) e D f ( x ( t - 1 ) ) tendono all'origine, allora quest'ultima è localmente esponenzialmente stabile per l'equazione data.

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