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pro vyhledávání: '"Peter Maličký"'
We study minimality for continuous actions of abelian semigroups on compact Hausdorff spaces with a free interval. First, we give a necessary and sufficient condition for such a space to admit a minimal action of a given abelian semigroup. Further, f
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c582916e41cca4169ab9daa1d58ad1a
http://arxiv.org/abs/1703.10445
http://arxiv.org/abs/1703.10445
Autor:
Peter Maličký
Publikováno v:
Journal of Difference Equations and Applications. 18:1193-1203
For a discrete dynamical system given by a Polish space X and a continuous selfmap f of X we investigate the set of all points which have some dense backward orbit. It is proved that if f is a topologically transitive map then is an analytic set whic
Autor:
Peter Maličký, Rudolf Zimka
Publikováno v:
Nonlinear Analysis: Real World Applications. 13:710-724
A two-regional five-dimensional model describing the development of income, capital stock and money stock, which was introduced by Asada in (2004) [2] is analysed. Sufficient conditions for the existence of two pairs of purely imaginary eigenvalues a
Autor:
Peter Maličký
Publikováno v:
Journal of Difference Equations and Applications. 18:553-567
Given the plane triangle and the transformation , we prove the existence of interior periodic points of periods . One of the periodic orbits of period 6 is given explicitly. We also prove that for any lower periodic saddle point, there is an interior
Autor:
Matúš Dirbák, Peter Maličký
Publikováno v:
Journal of Mathematical Analysis and Applications. 375(2):436-442
Let X, Z be infinite compact metric spaces. We show that if the group H ( Z ) of the homeomorphisms of Z has an arc-wise connected subgroup H 0 min ( Z ) whose action on Z is minimal then every minimal map f on X (invertible or not) admits a minimal
Autor:
Peter Maličký, Rudolf Zimka
Publikováno v:
Nonlinear Analysis: Real World Applications. 11:2787-2795
A two-regional five-dimensional model describing the development of income, capital stock and money stock, which was introduced by Asada (2004) [2] is analysed. Sufficient conditions for the existence of one pair of purely imaginary eigenvalues and t
Autor:
Peter Maličký, Miloslav Duchoň
Publikováno v:
Tatra Mountains Mathematical Publications. 44:159-168
We present a Helly type theorem for sequences of functions with values in metric spaces and apply it to representations of some mappings on the space of continuous functions. A generalization of the Riesz theorem is formulated and proved. More concre
Publikováno v:
Journal of Difference Equations and Applications. 15:53-69
Let B be a linearly ordered set, which is compact and metrizable with respect to the order topology, and 𝒵 a finite partition of B into clopen intervals. Let f : B → B be a continuous map, such that f| Z is monotone and f(Z) is an interval for a
Publikováno v:
Discrete Mathematics. 307:2569-2590
It is known that every closed compact orientable 3-manifold M can be represented by a 4-edge-coloured 4-valent graph called a crystallisation of M. Casali and Grasselli proved that 3-manifolds of Heegaard genus g can be represented by crystallisation
Autor:
Peter Maličký
Publikováno v:
Topology and its Applications. 154:2709-2713
We prove a category version of the Poincare recurrence theorem for a non-invertible map of a Baire space which is continuous, nearly feebly open and has no nonempty open wandering set.