6533b82cfe1ef96bd128fef6
RESEARCH PRODUCT
Multiplicity results for asymptotically linear equations, using the rotation number approach
Francesca DalbonoFabio Zanolinsubject
Asymptotically linearGeneral MathematicsMultiplicity resultsmedia_common.quotation_subjectMathematical analysisZero (complex analysis)InfinityBoundary value problem continuation theorem shooting without uniqueness rotation number Sturm–Liouville Theory weighted eigenvalue multiplicity resultBoundary value problemRotation (mathematics)Eigenvalues and eigenvectorsRotation numberMathematicsmedia_commondescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-07-01 |