Periodic perturbations of scalar second order differential equations

Discrete and Continuous Dynamical Systems

Volumn 3, Issue 3, 1997, Pages 451-455

  Buttazzoni, Paola ^a   Fonda, Alessandro ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031533566     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1997.3.451     Document Type: Article

References (10)

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2. H. Dankowicz and P. Holmes, THE EXISTENCE OF TRANSVERSE HOMOCLINIC POINTS IN SITNIKOV PROBLEM, J. Diff. Eq., 116 (1995), 468-483.
3. W. Ding, A GENERALIZATION OF THE POINCARÉ-BIRKHOFF THEOREM, Proc. Amer. Math. Soc., 88 (1983), 341-346.
4. A. Fonda and F. Zanolin, PERIODIC OSCILLATIONS OF FORCED PENDULUMS WITH A VERY SMALL LENGTH, Proc. Royal Soc. Edinburgh, to appear.
5. J. Hale, "Topics in Dynamic Bifurcation Theory", CBMS Reg. Conf. n. 47, Amer. Math. Soc., Providence, 1981.
6. P. Hartman, "Ordinary Differential Equations", Wiley, New York, 1964.
7. A. C. Lazer, SMALL PERIODIC PERTURBATIONS OF A CLASS OF CONSERVATIVE SYSTEMS, J. Diff. Eq., 13 (1973), 438-456.
8. W. S. Loud, "Periodic Solutions of x″ + cx′ + g(x) = ε f(t)", Mem. Amer. Math. Soc., Vol. 31, Providence, 1959.
9. Z. Opial, SUR LES PÉRIODES DES SOLUTIONS DE L'EQUATION DIFFERENTIELLE x″ + g(x) = 0, Ann. Polonici Math., 10 (1961), 49-72.
10. M. Willem, PERTURBATIONS OF NON DEGENERATE PERIODIC ORBITS OF HAMILTONIAN SYSTEMS, in "Periodic Solutions of Hamiltonian System and Related Topics", (eds. P. Rabinowitz, et al.), 1987, 261-266.