Multiplicity of forced oscillations for scalar differential equations.
Fredholm linear operators associated with ordinary differential equations on noncompact intervals.
On the uniqueness of the fixed point index on differentiable manifolds.
A set of axioms for the degree of a tangent vector field on differentiable manifolds.
Forced oscillations for delay motion equations on manifolds.
Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems
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.
Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems
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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Sia un’applicazione continua fra spazi di Banach. Nel presente lavoro si danno delle condizioni su affinchè l’equazione ammetta una componente connessa non limitata di soluzioni. A tale scopo si introducono le nozioni di applicazione -regolare e di applicazione -regolarizzabile. I risultati astratti sono infine applicati ad alcuni problemi ai limiti per equazioni differenziali a derivate parziali ed ordinarie.
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