Note on the existence of periodic solutions of a second order differential equation
F. H. Szafraniec (1969)
Annales Polonici Mathematici
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F. H. Szafraniec (1969)
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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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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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...
Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bahman Mehri (1977)
Archivum Mathematicum
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Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Antonio Iannizzotto (2012)
Annales Polonici Mathematici
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Applying a nonsmooth version of a three critical points theorem of Ricceri, we prove the existence of three periodic solutions for an ordinary differential inclusion depending on two parameters.
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.
Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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