Eine neue Methode zur Approximation periodischer Lösungen nicht- linearer Differentialgleichungen zweiter Ordnung. (German) Zbl 0117.05404

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[1] Barb?lat, I.: Applications du principe topologique deT. Wa?ewski aux équations différentielles du second ordre. Ann. Polon. Math.5, 303-317 (1958). · Zbl 0084.28902
[2] Cesari, L.: Functional Analysis and Periodic Solutions of Nonlinear Differential Equations. Contributions to Differential Equations, vol.I Nr. 2, 149-187 (1963). · Zbl 0132.07101
[3] Gomory, R. E.: Critical Points at Infinity and Forced Oscillations, Contributions to the Theory of Nonlinear Oscillations, vol. III. Annals of Mathematics Studies36, 85-126 (1956). · Zbl 0071.08801
[4] Hale, Jack K.: Oscillations in Nonlinear Systems. McGraw-Hill Series in Advanced Mathematics with Applications. New York-Toronto-London: McGraw-Hill Book Company, Inc. 1963.
[5] Knobloch, H. W.: Zwei Kriterien für die Existenz periodischer Lösungen von Differentialgleichungen zweiter Ordnung. Archiv der Mathematik14, 182-185 (1963). · Zbl 0123.05802
[6] Knobloch, H. W.: Remarks on a Paper ofL. Cesari on Functional Analysis and Nonlinear Differential Equations. (Erscheint demnächst im Michigan Mathematical Journal.) · Zbl 0117.30101
[7] Levinson, N.: Transformation theory of non-linear differential-equations of the second order. Annals of Mathematics45, 723-737 (1944). · Zbl 0061.18910
[8] Massera, J. L.: The existence of periodic solutions of differential equations. Duke Mat. J.17, 457-475 (1950). · Zbl 0038.25002
[9] Miranda, C.: Un’osservazione su un teorema di Brouwer. Boll. Un. Mat. Ital. (2)3, 5-7 (1940).
[10] Wa?ewski, T.: Sur un principe topologique de l’examen de l’allure asymptotique des intégrales des équations différentielles ordinaires. Ann. Soc. Polon. Math.20, 279-313 (1948). · Zbl 0032.35001
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