| Autor: |
Tobia Dondè, Fabio Zanolin |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Springer Proceedings in Mathematics & Statistics ISBN: 9783030563226 |
| DOI: |
10.1007/978-3-030-56323-3_17 |
| Popis: |
We prove the existence of multiple periodic solutions for a planar Hamiltonian system generated from the second order scalar ODE of Duffing type \(x'' + q(t)g(x) = 0\) with g satisfying a one-sided condition of sublinear type. We consider the classical approach based on the Poincare-Birkhoff fixed point theorem as well as some refinements on the side of the theory of bend-twist maps and topological horseshoes. We focus our analysis to the case of a stepwise weight function, in order to highlight the underlying geometrical structure. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
|
