On the C⁰-closing lemma
Anna A. Kwiecińska (1996)
Annales Polonici Mathematici
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A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.
Anna A. Kwiecińska (1996)
Annales Polonici Mathematici
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A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.
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.
J. Ligęza (1977)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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G. J. Butler (1974)
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.
G. J. Butler, H. I. Freedman (1979)
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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Bingwen Liu (2006)
Annales Polonici Mathematici
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We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
Jean-Jacques Pansiot (1986)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Bahman Mehri (1977)
Archivum Mathematicum
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