Article
MSC:
34C25,
37B05,
47H07,
47H09,
47H10,
58F08,
58F22 | MR 1790121 | Zbl 0972.37009 | DOI: 10.21136/MB.2000.126130
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Keywords:
condensing discrete dynamical system; stability; singular interval; continuous branch connecting two points; continuous curve
condensing discrete dynamical system; stability; singular interval; continuous branch connecting two points; continuous curve
Summary:
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}.
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