Geodesic
On condensing discrete dynamical systems
Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 275-306.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In the paper the fundamental properties of discrete dynamical systems generated by an $\alpha$-condensing mapping ($\alpha$ is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnosel'skij and A. V. Lusnikov in \cite{21}. They are also applied to study a mathematical model for spreading of an infectious disease investigated by P. Takac in \cite{35}, \cite{36}.
DOI : 10.21136/MB.2000.126130
Classification : 34C25, 37B05, 47H07, 47H09, 47H10, 58F08, 58F22
Keywords: condensing discrete dynamical system; stability; singular interval; continuous branch connecting two points; continuous curve 
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Šeda, Valter. On condensing discrete dynamical systems. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 275-306. doi : 10.21136/MB.2000.126130. http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126130/

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