By using a topological approach and the relation between rotation numbers and weighted eigenvalues, we give some multiplicity results for the boundary value problem u″ + f(t, u) = 0, u(0) = u(T) = 0, under suitable assumptions on f(t, x)/x at zero and infinity. Solutions are characterized by their nodal properties. © 2007 Birkhäuser Verlag Basel/Switzerland.
Multiplicity results for asymptotically linear equations, using the rotation number approach
ZANOLIN, Fabio
2007-01-01
Abstract
By using a topological approach and the relation between rotation numbers and weighted eigenvalues, we give some multiplicity results for the boundary value problem u″ + f(t, u) = 0, u(0) = u(T) = 0, under suitable assumptions on f(t, x)/x at zero and infinity. Solutions are characterized by their nodal properties. © 2007 Birkhäuser Verlag Basel/Switzerland.File in questo prodotto:
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