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math.CA2022
Rich dynamics in planar systems with heterogeneous nonnegative weights
Julián López-Gómez, Eduardo Muñoz-Hernández, Fabio Zanolin
This paper studies the global structure of the set of nodal solutions of a generalized Sturm--Liouville boundary value problem associated to the quasilinear equation $$ -(ϕ(u'))'=…
math.CA2022
Planar Hamiltonian systems: index theory and applications to the existence of subharmonics
Alberto Boscaggin, Eduardo Muñoz-Hernández
We consider a planar Hamiltonian system of the type , where is a function periodic in the time variable, s…