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 euivalent solutions to nonlinear ordinary differential equations.
Connected branches of asymptotically equivalent solutions to nonlinear eigenvalue problems / A.L. Edelson; M.P. Pera. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI DELLA CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. - ISSN 0392-7881. - STAMPA. - 81:(1987), pp. 337-346.
Connected branches of asymptotically equivalent solutions to nonlinear eigenvalue problems
PERA, MARIA PATRIZIA
1987
Abstract
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 euivalent solutions to nonlinear ordinary differential equations.
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