On the Prandtl equation on a finite interval.
Kapanadze, D. (1999)
Bulletin of TICMI
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Kapanadze, D. (1999)
Bulletin of TICMI
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M. Kuczma (1961)
Annales Polonici Mathematici
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Sivak, A.G. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Jozef Bobok (2002)
Fundamenta Mathematicae
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Let I be a compact real interval and let f:I → I be continuous. We describe an interval analogy of the irrational circle rotation that occurs as a subsystem of the dynamical system (I,f)-we call it an irrational twist system. Using a coding we show that any irrational twist system is strictly ergodic. We also prove that irrational twist systems exist as subsystems of a large class of systems (I,f) having a cycle of odd period greater than one.
František Neuman (1965)
Archivum Mathematicum
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Marta Gerová (1974)
Matematický časopis
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Peter Eliaš (2003)
Acta Universitatis Carolinae. Mathematica et Physica
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Warren White (1972)
Colloquium Mathematicae
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Michal Misiurewicz (1989)
Banach Center Publications
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José Pedro Moreno, Rolf Schneider (2016)
Studia Mathematica
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Let C(K) denote the Banach algebra of continuous real functions, with the supremum norm, on a compact Hausdorff space K. For two subsets of C(K), one can define their product by pointwise multiplication, just as the Minkowski sum of the sets is defined by pointwise addition. Our main interest is in correlations between properties of the product of closed order intervals in C(K) and properties of the underlying space K. When K is finite, the product of two intervals in C(K) is always...