We prove an existence theorem for connected branches of solutions to nonlinear operator equations in Banach spaces. This abstract result is applied to the asymptotically equivalent solutions to nonlinear ordinary differential equations.
Si studia resistenza di connessi globali di soluzioni per problemi agli autovalori non lineari in spazi di Banach e si prova, per una classe di equazioni differenziali ordinarie, l'esistenza di rami di soluzioni asintoticamente equivalenti a polinomi.
@article{RLINA_1987_8_81_4_337_0, author = {Allan L. Edelson and Maria Patrizia Pera}, title = {Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {81}, year = {1987}, pages = {337-346}, zbl = {0691.34051}, mrnumber = {0999825}, language = {en}, url = {http://dml.mathdoc.fr/item/RLINA_1987_8_81_4_337_0} }
Edelson, Allan L.; Pera, Maria Patrizia. Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 81 (1987) pp. 337-346. http://gdmltest.u-ga.fr/item/RLINA_1987_8_81_4_337_0/
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