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
Dalbono, F., & Zanolin, F. (2007). Multiplicity results for asymptotically linear equations, using the rotation number approach. MEDITERRANEAN JOURNAL OF MATHEMATICS, 4(2), 127-149.
Data di pubblicazione: | 2007 |
Titolo: | Multiplicity results for asymptotically linear equations, using the rotation number approach |
Autori: | |
Citazione: | Dalbono, F., & Zanolin, F. (2007). Multiplicity results for asymptotically linear equations, using the rotation number approach. MEDITERRANEAN JOURNAL OF MATHEMATICS, 4(2), 127-149. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00009-007-0108-z |
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 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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