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## Zdun, Marek Cezary

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 Author ID: zdun.marek-cezary Published as: Zdun, Marek Cezary; Zdun, Marek C.; Zdun, M. C.; Zdun, Marek External Links: MGP
 Documents Indexed: 70 Publications since 1972, including 2 Books Reviewing Activity: 77 Reviews
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#### Co-Authors

 48 single-authored 6 Krassowska, Dorota 4 Ciepliński, Krzysztof 2 Solarz, Paweł 2 Targonski, György I. 2 Zhang, Weinian 1 Bajger, Mariusz 1 Brzdęk, Janusz 1 Chmieliński, Jacek 1 Dobosz-Smela, Marta 1 Farzadfard, Hojjat 1 Ger, Roman 1 Jarczyk, Witold 1 Leśniak, Zbigniew 1 Łoskot, Krzysztof 1 Matkowski, Janusz 1 Páles, Zsolt
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#### Serials

 17 Aequationes Mathematicae 8 Journal of Mathematical Analysis and Applications 3 Annales Polonici Mathematici 3 Journal of Difference Equations and Applications 2 Colloquium Mathematicum 2 Publicationes Mathematicae 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Grazer Mathematische Berichte 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Archivum Mathematicum 1 Czechoslovak Mathematical Journal 1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 1 Results in Mathematics 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Radovi Matematički 1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 1 Glasnik Matematički. Serija III 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Annales Mathematicae Silesianae 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 Central European Journal of Mathematics 1 Fixed Point Theory and Applications 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Annales Societatis Mathematicae Polonae 1 Banach Center Publications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Fields

 63 Difference and functional equations (39-XX) 33 Real functions (26-XX) 28 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 4 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

53 Publications have been cited 249 times in 109 Documents Cited by Year
On simultaneous Abel equations. Zbl 0686.39009
Zdun, M. C.
1989
On differentiable iteration groups. Zbl 0434.39004
Zdun, Marek Cezary
1979
On iterative roots of homeomorphisms of the circle. Zbl 0996.39016
Zdun, Marek Cezary
2000
The structure of iteration groups of continuous functions. Zbl 0801.39005
Zdun, Marek Cezary
1993
Note on commutable functions. Zbl 0662.39004
Zdun, Marek Cezary
1988
Recent results on iteration theory: iteration groups and semigroups in the real case. Zbl 1295.39015
Zdun, Marek Cezary; Solarz, Paweł
2014
On set-valued iteration groups generated by commuting functions. Zbl 1261.39027
Zdun, Marek Cezary
2013
Regular fractional iterations. Zbl 0559.39003
Zdun, Marek Cezary
1985
Koenigs embedding flow problem with global $$C^{1}$$ smoothness. Zbl 1213.37030
Zdun, Marek C.; Zhang, Weinian
2011
On a system of Schröder equations on the circle. Zbl 1062.39023
Ciepliński, K.; Zdun, M. C.
2003
On continuous iteration semigroups on the circle. Zbl 1062.39025
Zdun, M. C.
2003
On uniqueness of conjugacy of continuous and piecewise monotone functions. Zbl 1177.26004
Ciepliński, Krzysztof; Zdun, Marek Cezary
2009
On conjugacy of some systems of functions. Zbl 0994.39020
Zdun, Marek Cezary
2001
Differentiable fractional iteration. Zbl 0363.39006
Zdun, Marek Cezary
1977
On a limit formula for embeddings of diffeomorphisms in regular iteration semigroups. Zbl 1272.39009
Zdun, Marek Cezary
2013
Commuting functions and simultaneous Abel equations. Zbl 0828.39006
Jarczyk, W.; Łoskot, K.; Zdun, M. C.
1994
On the structure of iteration groups of homeomorphisms having fixed points. Zbl 0908.39007
Zdun, Marek Cezary
1998
On the orbits of disjoint groups of continuous functions. Zbl 0955.39007
Zdun, Marek Cezary
1996
On continuity of iteration semigroups on metric spaces. Zbl 0707.39006
Zdun, Marek Cezary
1989
On the uniqueness of solutions of the functional equation $$\varphi(x+f(x))=\varphi (x)+ \varphi (f(x))$$. Zbl 0249.39004
Zdun, Marek
1972
On the embeddability of commuting functions in a flow. Zbl 0797.39007
Zdun, Marek Cezary
1992
On iteration groups of singularity-free homeomorphisms of the plane. Zbl 0819.39008
Zdun, Marek Cezary; Leśniak, Zbigniew
1994
On conjugacy of homeomorphisms of the circle possessing periodic points. Zbl 1109.37034
Zdun, M. C.
2007
On iteration groups of $$C^{1}$$-diffeomorphisms with two fixed points. Zbl 1262.39028
Krassowska, Dorota; Zdun, Marek Cezary
2011
A general class of iterative equations on the unit circle. Zbl 1174.39005
Zdun, Marek C.; Zhang, Weinian
2007
On approximative embeddability of diffeomorphisms in $$C^{1}$$-flows. Zbl 1310.39012
Zdun, Marek Cezary
2014
On a limit formula for regular iterations. Zbl 1349.39037
2016
On semi-conjugacy equation for homeomorphisms of the circle. Zbl 1007.39022
Ciepliński, Krzysztof; Zdun, Marek Cezary
2002
Continuous iteration semigroups. Zbl 0347.26005
Zdun, Marek Cezary
1977
On limit sets of mixed iterates of commuting mappings. Zbl 1207.39027
Krassowska, Dorota; Zdun, Marek Cezary
2009
On the embeddability of commuting continuous injections in iteration semigroups. Zbl 1194.39014
Krassowska, Dorota; Zdun, Marek Cezary
2009
On a factorization of homeomorphisms of the circle possessing periodic points. Zbl 1135.37014
Zdun, Marek Cezary
2008
Embeddability of homeomorphisms of the circle in set-valued iteration groups. Zbl 1323.37026
Krassowska, Dorota; Zdun, Marek Cezary
2016
Embeddings of diffeomorphisms of the plane in regular iteration semigroups. Zbl 1317.39030
Zdun, Marek Cezary; Solarz, Paweł
2015
On diffeomorphic solutions of simultaneous Abel’s equations. Zbl 0759.39006
Zdun, Marek Cezary
1991
On rational flows of continuous functions. Zbl 0918.58061
Bajger, Mariusz; Zdun, Marek Cezary
1996
On some invariants of conjugacy of disjoint iteration groups. Zbl 0830.39009
Zdun, Marek Cezary
1994
On iteration semigroups of continuous functions. Zbl 0347.39008
Zdun, Marek C.
1977
Generators and co-generators of substitution semigroups. Zbl 0649.47050
Targonski, György; Zdun, Marek Cezary
1985
On continuous iteration groups of fixed-point free mappings in $$\mathbb{R}^n$$ space. Zbl 0991.39502
Zdun, Marek Cezary
1991
On conjugacy of multivalent functions on the circle. Zbl 1160.39325
Zdun, Marek Cezary
2000
On embedding of homeomorphisms of the circle in a continuous flow. Zbl 0616.54037
Zdun, Marek Cezary
1985
On quasi-continuous iteration semigroups and groups of real functions. Zbl 0705.39005
Zdun, Marek Cezary
1990
On the regular solution of a linear functional equation. Zbl 0247.39004
Zdun, Marek Cezary
1973
Solutions of bounded variation of a linear functional equation. Zbl 0285.39004
Matkowski, Janusz; Zdun, Marek
1974
On integrable solutions of Abel’s functional equation. Zbl 0375.39001
Zdun, M. C.
1977
On the iteration of the hat-functions. Zbl 0424.26002
Zdun, Marek Cezary
1977
On convex iterative roots of non-monotonic mappings. Zbl 1380.39024
Zdun, Marek Cezary
2017
The embedding problem in iteration theory. Zbl 1335.37020
Zdun, Marek Cezary
2014
On one-parameter semigroups generated by commuting continuous injections. Zbl 1303.47056
Krassowska, Dorota; Zdun, Marek Cezary
2014
On the Schröder equation and iterative sequences of $$C ^{r }$$ diffeomorphisms in $${\mathbb{R}^{N}}$$ space. Zbl 1281.39017
Zdun, Marek Cezary
2013
On principal iteration semigroups in the case of multiplier zero. Zbl 1266.39021
Krassowska, Dorota; Zdun, Marek C.
2013
Substitution operators on $$L^ p$$-spaces and their semigroups. Zbl 0641.47035
Targonski, György; Zdun, Marek C.
1987
On convex iterative roots of non-monotonic mappings. Zbl 1380.39024
Zdun, Marek Cezary
2017
On a limit formula for regular iterations. Zbl 1349.39037
2016
Embeddability of homeomorphisms of the circle in set-valued iteration groups. Zbl 1323.37026
Krassowska, Dorota; Zdun, Marek Cezary
2016
Embeddings of diffeomorphisms of the plane in regular iteration semigroups. Zbl 1317.39030
Zdun, Marek Cezary; Solarz, Paweł
2015
Recent results on iteration theory: iteration groups and semigroups in the real case. Zbl 1295.39015
Zdun, Marek Cezary; Solarz, Paweł
2014
On approximative embeddability of diffeomorphisms in $$C^{1}$$-flows. Zbl 1310.39012
Zdun, Marek Cezary
2014
The embedding problem in iteration theory. Zbl 1335.37020
Zdun, Marek Cezary
2014
On one-parameter semigroups generated by commuting continuous injections. Zbl 1303.47056
Krassowska, Dorota; Zdun, Marek Cezary
2014
On set-valued iteration groups generated by commuting functions. Zbl 1261.39027
Zdun, Marek Cezary
2013
On a limit formula for embeddings of diffeomorphisms in regular iteration semigroups. Zbl 1272.39009
Zdun, Marek Cezary
2013
On the Schröder equation and iterative sequences of $$C ^{r }$$ diffeomorphisms in $${\mathbb{R}^{N}}$$ space. Zbl 1281.39017
Zdun, Marek Cezary
2013
On principal iteration semigroups in the case of multiplier zero. Zbl 1266.39021
Krassowska, Dorota; Zdun, Marek C.
2013
Koenigs embedding flow problem with global $$C^{1}$$ smoothness. Zbl 1213.37030
Zdun, Marek C.; Zhang, Weinian
2011
On iteration groups of $$C^{1}$$-diffeomorphisms with two fixed points. Zbl 1262.39028
Krassowska, Dorota; Zdun, Marek Cezary
2011
On uniqueness of conjugacy of continuous and piecewise monotone functions. Zbl 1177.26004
Ciepliński, Krzysztof; Zdun, Marek Cezary
2009
On limit sets of mixed iterates of commuting mappings. Zbl 1207.39027
Krassowska, Dorota; Zdun, Marek Cezary
2009
On the embeddability of commuting continuous injections in iteration semigroups. Zbl 1194.39014
Krassowska, Dorota; Zdun, Marek Cezary
2009
On a factorization of homeomorphisms of the circle possessing periodic points. Zbl 1135.37014
Zdun, Marek Cezary
2008
On conjugacy of homeomorphisms of the circle possessing periodic points. Zbl 1109.37034
Zdun, M. C.
2007
A general class of iterative equations on the unit circle. Zbl 1174.39005
Zdun, Marek C.; Zhang, Weinian
2007
On a system of Schröder equations on the circle. Zbl 1062.39023
Ciepliński, K.; Zdun, M. C.
2003
On continuous iteration semigroups on the circle. Zbl 1062.39025
Zdun, M. C.
2003
On semi-conjugacy equation for homeomorphisms of the circle. Zbl 1007.39022
Ciepliński, Krzysztof; Zdun, Marek Cezary
2002
On conjugacy of some systems of functions. Zbl 0994.39020
Zdun, Marek Cezary
2001
On iterative roots of homeomorphisms of the circle. Zbl 0996.39016
Zdun, Marek Cezary
2000
On conjugacy of multivalent functions on the circle. Zbl 1160.39325
Zdun, Marek Cezary
2000
On the structure of iteration groups of homeomorphisms having fixed points. Zbl 0908.39007
Zdun, Marek Cezary
1998
On the orbits of disjoint groups of continuous functions. Zbl 0955.39007
Zdun, Marek Cezary
1996
On rational flows of continuous functions. Zbl 0918.58061
Bajger, Mariusz; Zdun, Marek Cezary
1996
Commuting functions and simultaneous Abel equations. Zbl 0828.39006
Jarczyk, W.; Łoskot, K.; Zdun, M. C.
1994
On iteration groups of singularity-free homeomorphisms of the plane. Zbl 0819.39008
Zdun, Marek Cezary; Leśniak, Zbigniew
1994
On some invariants of conjugacy of disjoint iteration groups. Zbl 0830.39009
Zdun, Marek Cezary
1994
The structure of iteration groups of continuous functions. Zbl 0801.39005
Zdun, Marek Cezary
1993
On the embeddability of commuting functions in a flow. Zbl 0797.39007
Zdun, Marek Cezary
1992
On diffeomorphic solutions of simultaneous Abel’s equations. Zbl 0759.39006
Zdun, Marek Cezary
1991
On continuous iteration groups of fixed-point free mappings in $$\mathbb{R}^n$$ space. Zbl 0991.39502
Zdun, Marek Cezary
1991
On quasi-continuous iteration semigroups and groups of real functions. Zbl 0705.39005
Zdun, Marek Cezary
1990
On simultaneous Abel equations. Zbl 0686.39009
Zdun, M. C.
1989
On continuity of iteration semigroups on metric spaces. Zbl 0707.39006
Zdun, Marek Cezary
1989
Note on commutable functions. Zbl 0662.39004
Zdun, Marek Cezary
1988
Substitution operators on $$L^ p$$-spaces and their semigroups. Zbl 0641.47035
Targonski, György; Zdun, Marek C.
1987
Regular fractional iterations. Zbl 0559.39003
Zdun, Marek Cezary
1985
Generators and co-generators of substitution semigroups. Zbl 0649.47050
Targonski, György; Zdun, Marek Cezary
1985
On embedding of homeomorphisms of the circle in a continuous flow. Zbl 0616.54037
Zdun, Marek Cezary
1985
On differentiable iteration groups. Zbl 0434.39004
Zdun, Marek Cezary
1979
Differentiable fractional iteration. Zbl 0363.39006
Zdun, Marek Cezary
1977
Continuous iteration semigroups. Zbl 0347.26005
Zdun, Marek Cezary
1977
On iteration semigroups of continuous functions. Zbl 0347.39008
Zdun, Marek C.
1977
On integrable solutions of Abel’s functional equation. Zbl 0375.39001
Zdun, M. C.
1977
On the iteration of the hat-functions. Zbl 0424.26002
Zdun, Marek Cezary
1977
Solutions of bounded variation of a linear functional equation. Zbl 0285.39004
Matkowski, Janusz; Zdun, Marek
1974
On the regular solution of a linear functional equation. Zbl 0247.39004
Zdun, Marek Cezary
1973
On the uniqueness of solutions of the functional equation $$\varphi(x+f(x))=\varphi (x)+ \varphi (f(x))$$. Zbl 0249.39004
Zdun, Marek
1972
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#### Cited by 66 Authors

 23 Zdun, Marek Cezary 15 Zhang, Weinian 8 Farzadfard, Hojjat 6 Shi, YongGuo 5 Jarczyk, Witold 5 Leśniak, Zbigniew 5 Li, Lin 5 Liu, Liu 4 Buescu, Jorge 4 Ciepliński, Krzysztof 4 Krassowska, Dorota 4 Łydzińska, Grażyna 4 Neuman, František 4 Serpa, Cristina 4 Solarz, Paweł 4 Zeng, Yingying 4 Zhang, Wenmeng 3 Čermák, Jan 2 Domsta, Joachim 2 Głazowska, Dorota 2 Gong, Xiaobing 2 Jarczyk, Justyna 2 Robati, B. Khani 2 Tang, Xiao 2 Targonski, György I. 2 Tryhuk, Václav 2 Zhang, Pingping 1 Aczél, János Dezső 1 Balibrea, Francisco 1 Bessenyei, Mihály 1 Boyarsky, Abraham 1 Burkart, Uhland 1 Chiang, Chun-Yueh 1 Góra, Paweł 1 Guzik, Grzegorz 1 Kézi, Csaba Gábor 1 Kuczma, Marek 1 Kumar, Murugan Suresh 1 Li, Weinian 1 Lin, Matthew M. 1 Lin, Yinhe 1 Masatlioglu, Yusufcan 1 Matkowski, Janusz 1 Moszner, Zenon 1 Murugan, Veerapazham 1 Nechvátal, Luděk 1 Ok, Efe A. 1 Okamura, Kazuki 1 Olko, Jolanta 1 Przebieracz, Barbara 1 Reem, Daniel 1 Reich, Ludwig 1 Sheng, Weihong 1 Smítal, Jaroslav 1 Song, Wei 1 Steinmetz, Norbert 1 Tang, Yilei 1 Volkmann, Peter 1 Wójcik, Paweł 1 Xu, Bing 1 Yamamura, Hirofumi 1 Yang, Lili 1 Yang, Lu 1 Yin, Xunbo 1 Yu, Zhiheng 1 Zhang, Wanxiong
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#### Cited in 36 Serials

 29 Aequationes Mathematicae 18 Journal of Mathematical Analysis and Applications 13 Journal of Difference Equations and Applications 4 Czechoslovak Mathematical Journal 4 Journal of Computational and Applied Mathematics 3 Results in Mathematics 3 Abstract and Applied Analysis 2 Chaos, Solitons and Fractals 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics Letters 2 Science China. Mathematics 1 Rocky Mountain Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Economic Theory 1 Mathematica Slovaca 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Topology and its Applications 1 Social Choice and Welfare 1 Constructive Approximation 1 Journal of Economics 1 Mathematical and Computer Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Journal of Nonlinear Mathematical Physics 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Journal of Nonlinear Science and Applications 1 Journal of Applied Analysis and Computation 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 22 Fields

 83 Difference and functional equations (39-XX) 42 Dynamical systems and ergodic theory (37-XX) 41 Real functions (26-XX) 9 Ordinary differential equations (34-XX) 9 General topology (54-XX) 6 Numerical analysis (65-XX) 5 Functions of a complex variable (30-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Group theory and generalizations (20-XX) 3 Operator theory (47-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)