Solvability Of Operator Equations And Periodic Solutions Of Semilinear Hyperbolic Equations
P. S. Milojević (1990)
Publications de l'Institut Mathématique
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P. S. Milojević (1990)
Publications de l'Institut Mathématique
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Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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N. Aoki, Kazumine Moriyasu, N. Sumi (2001)
Fundamenta Mathematicae
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We show that the C¹-interior of the set of maps satisfying the following conditions: (i) periodic points are hyperbolic, (ii) singular points belonging to the nonwandering set are sinks, coincides with the set of Axiom A maps having the no cycle property.
Philippe Le Floch, Tai-Ping Liu (1993)
Forum mathematicum
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Kiguradze, Tariel (1994)
Memoirs on Differential Equations and Mathematical Physics
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Kiguradze, I. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Herbert Koch (1993)
Mathematische Zeitschrift
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Virpi Kauko (2000)
Fundamenta Mathematicae
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We discuss the tree structures of the sublimbs of the Mandelbrot set M, using internal addresses of hyperbolic components. We find a counterexample to a conjecture by Eike Lau and Dierk Schleicher concerning topological equivalence between different trees of visible components, and give a new proof to a theorem of theirs concerning the periods of hyperbolic components in various trees.
Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi (2022)
Commentationes Mathematicae Universitatis Carolinae
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The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.