An approximation method for continuous pseudocontractive mappings.
Song, Yisheng, Chen, Rudong (2006)
Journal of Inequalities and Applications [electronic only]
Klaudiusz Wójcik (1997)
Annales Polonici Mathematici
We study the behavior of a continuous flow near a boundary. We prove that if φ is a flow on for which is an invariant set and S ⊂ ∂E is an isolated invariant set, with non-zero homological Conley index, then there exists an x in EE such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on .
K.D. jr. Magill (1983)
Semigroup forum
Jan Jaworowski (1981)
Manuscripta mathematica
H. Patkowska (1987)
Colloquium Mathematicae
Józef Piórek (1996)
Annales Polonici Mathematici
It is proved that a piecewise monotone transformation of the unit interval (with a countable number of pieces) is generically chaotic. The Gauss map arising in connection with the continued fraction expansions of the reals is an example of such a transformation.
Józef Burzyk (1993)
Czechoslovak Mathematical Journal
A. Lelek (1972)
Colloquium Mathematicae
Ivanov, A.F. (1992)
Acta Mathematica Universitatis Comenianae. New Series
Marek Kuczma (1988)
Stochastica
Cheng Ming Lee (1978)
Commentationes Mathematicae Universitatis Carolinae
N. Markley, M. Vanderschoot (2000)
Colloquium Mathematicae
In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus with equally striking...
Jacek R. Jachymski (1997)
Aequationes mathematicae
Vasil G. Angelov (1985)
Aequationes mathematicae
Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]
Vasil G. Angelov, Lubomir P. Georgiev (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
An extension of Kirk - Schöneberg surjectivity result is established.
W. H. Graves, S. A. Selesnick (1973)
Colloquium Mathematicae
Penazzi, D. (2001)
Rendiconti del Seminario Matematico
J. Jachymski (1994)
Aequationes mathematicae
J. Jachymski (1994)
Aequationes mathematicae