6533b85ffe1ef96bd12c13a2
RESEARCH PRODUCT
Multiple solutions of second order Hamiltonian systems
Roberto LivreaGabriele BonannoMartin Schechtersubject
Pure mathematicscritical pointsMonotonic functionperiodic solutionsCritical points01 natural sciencesHamiltonian systemCritical pointsecond order Hamiltonian systemsQA1-939Order (group theory)0101 mathematicsMathematicsDiscrete mathematicsSecond order Hamiltonian systems; Periodic solutions; Critical points; Applied MathematicsPeriodic solutionsApplied Mathematics010102 general mathematicsMultiplicity (mathematics)Pure Mathematics010101 applied mathematicsSecond order Hamiltonian systemPeriodic solutionSecond order Hamiltonian systemsParameter dependentOpen intervalMathematicsdescription
Author(s): Bonanno, G; Livrea, R; Schechter, M | Abstract: The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-01 |