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Varietà analitiche chiuse trasformate in sè dai sistemi differenziali periodici. (Italian) Zbl 0057.32001

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[1] Levinson, N., Transformation theory of non-linear differential equations of the second order, Ann. of Math., 45, 723-723 (1944) · Zbl 0061.18910 · doi:10.2307/1969299
[2] Birkhoff, G. D., Sur quelques courbes fermées remarquables, Bull. de la Soc. Math. de France, LX, 1-2 (1932) · Zbl 0005.22002
[3] H. Poincaré,Oeuvres, Vol. I, p. 54-55. Per l’enunciato del criterio di esistenza di una soluzione periodica (anche nel campo reale, ma sempre pern=2 e leX_k indipendenti dat) vedasi anche:I. Bendixson,Sur les courbes définies par des équations différentielles, « Acta Mat. », Vol. 24, 1901, pp. 11-12.
[4] N. Levinson, loc. cit. in (1). Vedasi anche:S. Lefschetz,Lectures on differential equations, « Princ. Univ. Press. », 1948, pp. 204-208.
[5] Vedasi, ad es.,J. J. Stoker,Non linear vibrations, « Interscience Publ. », New York, p. 257.
[6] Vedasi ad es.A. S. Besicovic,Almost periodic functions, Cambridge, « Univ. Press. », 1932, pp. 10-12. · Zbl 0004.25303
[7] Sansone, G., Equazioni differenziali nel campo reale, Zanichelli, Bologna, I, 30-31 (1948) · JFM 67.0306.01
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