6533b821fe1ef96bd127befd

RESEARCH PRODUCT

Existence and multiplicity of periodic solutions for second order Hamiltonian systems depending on a parameter

Gabriele BonannoR. Livrea

subject

Critical points Periodic solutions Second order hamiltonian systemsPeriodic solutionsPeriodic solutionCritical pointsSecond order hamiltonian systemsCritical point

description

The existence of at least one nontrivial periodic solution for a class of second order Hamiltonian systems depending on a parameter is obtained, under an algebraic condition on the nonlinearity G and without requiring any asymptotic behavior neither at zero nor at infinity. The existence is still deduced in the particular case when G is subquadratic at zero. Finally, two multiplicity results are proved if G, in addition, is required to fulfill some different Ambrosetti-Rabinowitz type superquadratic conditions at infinity. The approach is fully variational. © Heldermann Verlag.

yearjournalcountryeditionlanguage
2013-01-01
http://hdl.handle.net/10447/258562