Convergent solutions of nonlinear differential equations

Lovelady, David Lowell

Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 54 (1973) no. 2, pp. 193-198.

Résumé

Sono date condizioni sufficienti che assicurano che se $f$ è convergente allora ogni soluzione $v(t)$ dell'equazione $v'(t) = f)t) + F(t,v(t))$ è convergente. Questi risultati sono applicati per scegliere $\lim_{t \to \infty} v(t)$. Soluzioni convergenti sono pure ottenute per l'equazione perturbata $u'(t) = f(t) + F(t,u(t)) + G(t,u(t))$.

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