The existence of periodic solutions of an autonomous second order non-linear differential equation
G. J. Butler (1974)
Annales Polonici Mathematici
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G. J. Butler (1974)
Annales Polonici Mathematici
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J. Ligęza (1977)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Stanisław Sȩdziwy (2009)
Bollettino dell'Unione Matematica Italiana
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The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.
Carvalho, L.A.V., Ladeira, L.A.C., Martelli, M. (2000)
Portugaliae Mathematica
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F. H. Szafraniec (1969)
Annales Polonici Mathematici
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S. Sędziwy (1965)
Annales Polonici Mathematici
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Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Radosław Pietkun (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.