On the minimal period for periodic solution problem of nonlinear hamiltonian systems

Chinese Annals of Mathematics. Series B

Volumn 18, Issue 4, 1997, Pages 481-484

  Long, Yiming ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

Even solution; Hamiltonian systems; Index iteration inequality; Minimal period; Non convexity; Superquadratic condition; Z2 symmetry

Indexed keywords

EID: 21944450086     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Ekeland, I., Convexity methods in Hamiltonian mechanics, Springer-Verlag, Berlin, 1990.
2. Long, Y., Estimates on the minimal period for periodic solutions of autonomous superquadratic second order Hamiltonian systems, Nonlinear Anal. and Microlocal Anal., ed. by K. C. Chang et al., World Scientific, Singapore, 1992, 168-175.
3. Long, Y., The minimal period problem of classical Hamiltonian systems with even potentials, Ann. IHP. Anal. non Lineaire, 6 (1993), 605-626.
4. Long, Y., The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems, J. Diff. Equa., 111 (1994), 147-174.
5. Long, Y., Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials Nonlinear Analysis, T.M.A., 24 (1995), 1665-1671.
6. Rabinowitz, P., Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math., 31(1978), 157-184.