Infinitely many periodic solutions for a second-order nonautonomous system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 54, Issue 3, 2003, Pages 417-429

  Faraci, Francesca ^a   Livrea, Roberto ^b  

^a UNIVERSITY OF CATANIA   (Italy)

^b UNIVERSITY OF MESSINA   (Italy)

Author keywords

Critical points; Infinitely many solutions; Second order nonautonomous systems; Variational methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; PROBLEM SOLVING; THEOREM PROVING;

NONAUTONOMOUS SYSTEMS;

NONLINEAR EQUATIONS;

EID: 0038824011     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00099-3     Document Type: Article

References (5)

1. Antonacci F., Magrone P. Second order nonautonomous systems with symmetric potential changing sign. Rend. Mat. Appl. 18(2):1998;367-379.
2. Bahri A., Berestycki H. Existence of forced oscillations for some nonlinear differential equations. Commun. Pure Appl. Math. 37(4):1984;403-442.
3. Benci V. Some critical point theorems and applications. Commun. Pure Appl. Math. 33(2):1980;147-172.
4. Mawhin J., Willem M. Critical Point Theory and Hamiltonian Systems. 1989;Springer, New York.
5. Ricceri B. A general variational principle and some of its applications. J. Comput. Appl. Math. 113:2000;401-410.