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.
Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)
Applications of Mathematics
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In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...
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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