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References:
[1] H. Poincaré: Lés méthodes nouvelles de la mécanique céleste. Gauthiers-Villars, Paris, 1892.
[2] M. Farkas: On stability and geodesies. Ann. Univ. Sci. Budapest. Rol. Eötvös Nom. 11 (1968), 145-159. MR 0240408
[3] R. B. Barrar: Existence of periodic solutions of the second kind in the restricted problem of three bodies. Astronom. J. 70, 1 (1965), 3 - 4. DOI 10.1086/109672 | MR 0187899
[4] H. E. Edgerton, P. Fourmarier: The pulling-into-step of a salient-pole synchronous motor. Trans. A.I.E.E. 50 (1931), 769-778. DOI 10.1109/T-AIEE.1931.5055868
[5] P. Meystre: Free-electron lasers: An introduction. In ,,Laser Physics (D. F. Walls and J. D. Harvey, ed.),". Academic Press, Sydney-New York-London-Toronto-San Francisco, 1980.
[6] M. Farkas: Controllably periodic perturbations of autonomous systems. Acta Math. Acad. Sci. Hungar. 22, 3-4 (19 1), 337-348. MR 0296424
[7] M. Farkas: Determination of controllably periodic perturbed solutions by Poincaré's method. Stud. Sci. Math. Hungar. 7 (1972), 257-266. MR 0346266
[8] J. Andres: Solution with periodic second derivative of a certain third order differential equation. Math. Slovaca 37, 3 (1987), 239-245. MR 1127107 | Zbl 0629.34048
[9] R. Reissig: Phasenraum-Methoden zum Studium nichtlinearen Differentialgleichungen. Jber. Deutsch. Math. 75 (1974), 130-139. MR 0477300
[10] S. Fučík J. Nečas J. Souček, V. Souček: Spectral Analysis of Nonlinear Operators. LNM 346, Springer-Verlag, Berlin-Heidelberg-New York, 1973. MR 0467421
[11] J. Mawhin: An extension of a theorem of A. C. Lazer on forced nonlinear oscillations. J. Math. Anal. Appl. 40 (1972), 20-29. DOI 10.1016/0022-247X(72)90025-X | MR 0313587 | Zbl 0245.34035
[12] C. H. Hardy J. E. Littlewood, G. Polya: Inequalities. Cambridge University Press, London, 1951.
[13] J. Andres: On local $\omega$-cycles to certain third order nonlinear differential equations. Fasc. Math. 17 (1987), 49-54. MR 0942319 | Zbl 0648.34043
[14] S. N. Chow, A. Lasota: On boundary value problems for ordinary differential equations. J. Diff. Eqns 14, 2 (1973), 326-337. DOI 10.1016/0022-0396(73)90051-X | MR 0330598 | Zbl 0285.34009
[15] S. H. Chang: Periodic solutions of certain differential equations with quasibounded nonlinearities. J. Math. Anal. Appl. 56 (1976), 165-171. DOI 10.1016/0022-247X(76)90014-7 | MR 0419944 | Zbl 0338.34034
[16] R. Reissig: Periodic solutions of certain higher order differential equations. Nonlinear Analysis, T.M.A. 2, 5 (1978), 635-642. MR 0512159 | Zbl 0385.34019
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