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Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems

Allan L. Edelson;  Maria Patrizia Pera — 1987

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

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.

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