Repozytorium publikacji - Politechnika Gdańska

We prove that second order Hamiltonian systems with a potential of class C1, periodic in time and superquadratic at infinity with respect to the space variable have subharmonic solutions. Our intention is to generalise a result on subharmonics for Hamiltonian systems with a potential satisfying the global Ambrosetti-Rabinowitz condition from [P. H. Rabinowitz, Proc. Roy. Soc. Edinburgh Sect. A, 114 (1990), 33-38]. Indeed, we weaken the latter condition in a neighbourhood of the origin. We will also discuss when subharmonics pass to a nontrivial homoclinic orbit.

Autorzy

• Anouar Bahrouni,
• prof. dr hab. Marek Izydorek link otwiera się w nowej karcie ,
• prof. dr hab. Joanna Janczewska link otwiera się w nowej karcie