On condensing discrete dynamical systems

Šeda, Valter

Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 275-306

Abstract (VO)

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}.

Détail

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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