Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Jaroslav Smítal"'
Publikováno v:
Results in Mathematics. 67:521-528
We consider continuous solutions \({f : \mathbb{R}_{+} \rightarrow \mathbb{R}_{+} = (0, \infty)}\) of the functional equation \({f(xf(x)) = \varphi (f(x))}\) where \({\varphi}\) is a given continuous map \({\mathbb{R}_{+} \rightarrow \mathbb{R}_{+}}\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45d1b7296d92dc5f3647552714820f16
https://doi.org/10.1007/s00025-015-0437-3
https://doi.org/10.1007/s00025-015-0437-3
Autor:
Marta Štefánková, Jaroslav Smítal
Publikováno v:
Developments in Functional Equations and Related Topics ISBN: 9783319617312
We consider the equation f(xf(x)) = φ(f(x)), x > 0, where φ is given, and f is an unknown continuous function (0, ∞) → (0, ∞). This equation was for the first time studied in 1975 by Dhombres (with φ(y) = y2), later it was considered for oth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18adba4418eadbad5a64392a7e60e04c
https://doi.org/10.1007/978-3-319-61732-9_13
https://doi.org/10.1007/978-3-319-61732-9_13
Publikováno v:
Chaos, Solitons & Fractals. 67:38-42
For a topological dynamical system ( X , f ) we consider the structure of the set F ( f ) of asymptotic distributions of the distances between pairs of trajectories. If f has the weak specification property then F ( f ) is closed and convex, and it c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88a69ae369f515cc9ee10d4627f5888f
https://doi.org/10.1016/j.chaos.2014.06.013
https://doi.org/10.1016/j.chaos.2014.06.013
Autor:
Marta Štefánková, Jaroslav Smítal
Publikováno v:
Aequationes mathematicae. 89:57-61
We consider continuous solutions \({f : \mathbb{R}_{+} \rightarrow \mathbb{R}_{+} = (0, \infty)}\) of the functional equation \({f(xf(x)) = \varphi (f(x))}\) where \({\varphi}\) is a given continuous map \({\mathbb{R}_{+} \rightarrow \mathbb{R}_{+}}\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca4b5bd7a636832656f20fb1d6869aaa
https://doi.org/10.1007/s00010-014-0272-8
https://doi.org/10.1007/s00010-014-0272-8
Publikováno v:
Results in Mathematics. 65:251-261
We consider singular solutions of the functional equation $${f(xf(x)) = \varphi (f(x))}$$ where $${\varphi}$$ is a given and f an unknown continuous map $${\mathbb R_{+} \rightarrow \mathbb R_{+}}$$ . A solution f is regular if the sets $${R_f \cap (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e0e700c877d494417124557d6630711
https://doi.org/10.1007/s00025-013-0345-3
https://doi.org/10.1007/s00025-013-0345-3
Publikováno v:
Journal of Mathematical Analysis and Applications. 399:542-550
We characterize the generalized Dhombres functional equations f ( z f ( z ) ) = φ ( f ( z ) ) which have a non-constant rational solution f 0 , holomorphic at 0, with f 0 ( 0 ) = w 0 , under the assumption that φ is a non-constant meromorphic funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb4b57560fc24ffe56c56e72a06c1285
https://doi.org/10.1016/j.jmaa.2012.10.038
https://doi.org/10.1016/j.jmaa.2012.10.038
Autor:
Lenka Obadalová, Jaroslav Smítal
Publikováno v:
Nonlinearity. 25:1443-1449
Let (X, f) be a topological dynamical system, where X is a compact metric space and f : X → X is a continuous map. Denote by the set of all invariant probability measures of f which are limit points of the sequence , where δx is the atomic probabi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::142843379eda8b6ffbd338a10667fb7e
https://doi.org/10.1088/0951-7715/25/5/1443
https://doi.org/10.1088/0951-7715/25/5/1443
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 74:7342-7346
We show that in the class T of the triangular maps ( x , y ) ↦ ( f ( x ) , g x ( y ) ) of the square there is a map of type 2 ∞ with non-minimal recurrent points which is not DC3. We also show that every DC1 continuous map of a compact metric spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::414100763585eb93b571d9194ccb8e66
https://doi.org/10.1016/j.na.2011.07.052
https://doi.org/10.1016/j.na.2011.07.052
Publikováno v:
Publicationes Mathematicae Debrecen. 78:659-673
We consider continuous solutions f : R+ ! R+ = (0,1) of the functional equation f(xf(x)) = o(f(x)) where o is a given continuous map R+ ! R+. If o is an increasing homeomorphism the solutions are completely described, if not there are only partial re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a84a302a96f9e4cdf246d1e81ac0ee66
https://doi.org/10.5486/pmd.2011.4888
https://doi.org/10.5486/pmd.2011.4888
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 74:1690-1693
We provide a class of triangular maps of the square, (x,y)↦(f(x),gx(y)) of type 2∞, i.e., such that the periods of periodic points are the powers of 2, which has a minimal set supporting positive topological entropy. This improves the famous exam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d97055ecd1786b3fec83165c8327dcc7
https://doi.org/10.1016/j.na.2010.10.040
https://doi.org/10.1016/j.na.2010.10.040