On periodic solutions of second order functional differential equations.
Lomtatidze, A., Mukhigulashvili, S. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Lomtatidze, A., Mukhigulashvili, S. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Chang, S.H. (1985)
International Journal of Mathematics and Mathematical Sciences
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P. Fischer (1986)
Aequationes mathematicae
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Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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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G. J. Butler (1974)
Annales Polonici Mathematici
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Rabah Khemis, Abdelouaheb Ardjouni, Ahlème Bouakkaz, Ahcene Djoudi (2019)
Commentationes Mathematicae Universitatis Carolinae
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The goal of the present paper is to establish some new results on the existence, uniqueness and stability of periodic solutions for a class of third order functional differential equations with state and time-varying delays. By Krasnoselskii's fixed point theorem, we prove the existence of periodic solutions and under certain sufficient conditions, the Banach contraction principle ensures the uniqueness of this solution. The results obtained in this paper are illustrated by an example. ...
Xin-Ge Liu, Mei-Lan Tang (2014)
Applications of Mathematics
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Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.
Ezzinbi, Khalil, Jazar, Mustapha (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kiguradze, I. (1997)
Memoirs on Differential Equations and Mathematical Physics
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