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1. A remark to the paper ''On condensing discrete dynamical systems''

Creator:
Šeda, Valter
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
condensing discrete dynamical system, singular interval, stability, and order-preserving mapping
Language:
English
Description:
In the paper a new proof of Lemma 11 in the above-mentioned paper is given. Its original proof was based on Theorem 3 which has been shown to be incorrect.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. On condensing discrete dynamical systems

Creator:
Šeda, Valter
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
condensing discrete dynamical system, stability, singular interval, continuous branch connecting two points, and continuous curve
Language:
English
Description:
In the paper the fundamentaì pгopeгties of discrete dynamical systems generated by an a-condensing mapping (a is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnoseľskij and A. V. Lusnikov in [21]. They are aìso applied to study a mathematical rдodel for spreading of an infectious disease investigated by P.Takáč in [35], [36].
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public