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 [10.1007/s00009-007-0108-z].
Multiplicity results for asymptotically linear equations, using the rotation number approach
DALBONO, Francesca;
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
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