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Note on the behaviour of solutions of a second order nonlinear difference equation

Blazej Szmanda — 1980

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

Si studia l’equazione non omogenea del secondo ordine alle differenze, Δ ( r n Δ u n ) + a n f ( u n ) = b n nel suo comportamento asintotico. Fra l’altro, si danno condizioni sufficienti per il tendere allo zero di tutte le soluzioni di (*) non oscillatorie.

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