Displaying similar documents to “Periodic solutions of a non coercive Hamiltonian system.”

Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface

Chengfu Che, Xiaoping Xue (2012)

Annales Polonici Mathematici

Similarity:

Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.

Convergence results for periodic solutions of nonautonomous Hamiltonian systems

Mario Girardi, Michele Matzeu (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

We prove some stability results for a certain class of periodic solutions of nonautonomous Hamiltonian systems in the case of Hamiltonian functions either with subquadratic growth or homogeneous with superquadratic growth. Thus we extend to the nonautonomous case some results recently established by the Authors for the autonomous case.

Periodic solutions for second-order Hamiltonian systems with a p -Laplacian

Xianhua Tang, Xingyong Zhang (2010)

Annales UMCS, Mathematica

Similarity:

In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.