On forced oscillations of Lagrangian systems
On forced oscillations of Lagrangian systems
Si studia il problema dell'esistenza di infinite soluzioni periodiche per il sistema Lagrangiano $\frac{d}{dt}\frac{\partial\mathcal{\mathfrak{L}}}{\partial\dot{q}}$-$\frac{\text{\ensuremath{\partial}}\mathcal{\mathfrak{L}}}{\partial q}$+ f(t) = 0 (ove f(t) è un termine «forzante» periodico). Si assume che il potenziale «cresca» in modo sopraquadratico all'infinito.
We study the existence of infinitely many periodic solutions of the Lagrangian system $\frac{d}{dt}\frac{\partial\mathcal{\mathfrak{L}}}{\partial\dot{q}}$-$\frac{\text{\ensuremath{\partial}}\mathcal{\mathfrak{L}}}{\partial q}$+ f(t) = 0 (where f(t) is a periodic «forcing» term). We assume that the potential «grows» superquadratically at infinity.
- University of Trieste Italy
- Polytechnic University of Bari Italy
Lagrangian system, existence of infinitely many periodic solutions, Lagrange's equations, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
Lagrangian system, existence of infinitely many periodic solutions, Lagrange's equations, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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