6533b86ffe1ef96bd12ce910

RESEARCH PRODUCT

Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations

Null Francesca Dalbono

subject

Settore MAT/05 - Analisi MatematicaApplied MathematicsAnalysisAsymptotically Linear Planar Systems Sign-preserving Solutions Morse Index Phase Angles

description

We study multiplicity of solutions to an asymptotically linear Dirichlet problem associated with a planar system of second order ordinary differential equations. The existence of two sign-preserving component-wise solutions is guaranteed when the Morse indexes of the linearizations at zero and at infinity do not coincide, and one of the asymptotic problems has zero-index. The proof is developed in the framework of topological and shooting methods and it is based on a detailed analysis and characterization of the phase angles in a two-dimensional setting.

yearjournalcountryeditionlanguage
2022-03-06
10.12775/tmna.2021.023http://hdl.handle.net/10447/512225