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dr (Ph. D.)
Zbigniew Leśniak
orcid.org/0000-0002-6717-6903
profesor UKEN (pracownik badawczo-dydaktyczny) (associate professor)
Chair of Mathematical Analysis and Applications

room: 110

phone: 12 662-62-89

e-mail: zbigniew.lesniak@uken.krakow.pl

presonal webpage: https://orcid.org/0000-0002-6717-6903

Classes hours:

Consultation hours:

Curriculum Vitae

Education

1983-1988 Uniwersytet Jagielloński w Krakowie, Wydział Matematyki i Fizyki; studia na kierunku matematyka

Received Degrees

1988 magister matematyki (UJ). Tytuł pracy magisterskiej: Aksjomat Martina; promotor: dr B.Grell.
1994 doktor nauk matematycznych (Wydział Matematyczno-Fizyczno-Techniczny WSP w Krakowie). Tytuł rozprawy: Równanie Abela na płaszczyźnie i pewne jego zastosowania w teorii iteracji; promotor: prof. dr hab. M. C. Zdun.

Interests

Research:

Research Results:

Professional activity

od 1 X 1988 do chwili obecnej zatrudniony w Instytucie Matematyki Uniwersytetu Pedagogicznego im. Komisji Edukacji Narodowej w Krakowie (wcześniej WSP i AP) - jako pracownik naukowo-dydaktyczny: 1988-1989 asystent stażysta, 1989-1994 asystent, od 1994 adiunkt

Positions held in UP

Kierownik Studiów Podyplomowych w Instytucie Matematyki
Członek organów kolegialnych Uniwersytetu Pedagogicznego: Rady Wydziału Matematyczno-Fizyczno-Technicznego, Rady Instytutu Matematyki
Członek Uczelnianej Komisji Wyborczej

Teaching activity

algebra, geometria, analiza matematyczna, statystyka, ekonometria, matematyka obliczeniowa, matematyczne podstawy informatyki, rozwój pojęć matematycznych, podstawy teoretyczne matematyki szkolnej

Attended conferences

Scientific conferenced:

15th International Conference on Functional Equations and Inequalities, Ustroń, Polska, 19 - 25 May, 2013, lecture: On approximate solutions of the generalized Volterra integral equation
51st International Symposium on Functional Equations, Rzeszów, Polska, 16 - 23 June, 2013, lecture: On limit sets of Brouwer homeomorphisms embeddable in a flow
The 2013 Progress on Difference Equations, Białystok, Polska, 21 - 26 July, 2013, lecture: On generating solutions of a third-order equation
Conference on Ulam's Type Stability, Rytro, Polska, 2 - 6 June, 2014, lecture: On stability of an operator type equation of order n
52nd International Symposium on Functional Equations, Innsbruck, Austria, 22 - 29 June, 2014, lecture: On properties of generalized Reeb flows
Fourth Small Workshop on Operator Theory , Kraków, Polska, 8 - 11 July, 2014, lecture: On generating solutions of a generalized Volterra integral equation
20th European Conference on Iteration Theory, Łagów, Polska, 14 - 20 September, 2014, lecture: On strongly irregular points of a Brouwer homeomorphism embeddable in a flow
16th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 17 - 23 May, 2015, lecture: On the topological equivalence of flows of Brouwer homeomorphisms
53rd International Symposium on Functional Equations, Krynica-Zdrój, Polska, 14 - 21 June, 2015, lecture: On the topological conjugacy of flows of generalized Reeb homeomorphisms
The 21st International Conference on Difference Equations and Applications 2015, Białystok, Polska, 19 - 24 July, 2015, lecture: On topological properties of ﬂows of Brouwer homeomorphisms
54th International Symposium on Functional Equations, Hajdúszoboszló, Węgry, 12 - 19 June, 2016, lecture: On the topological conjugacy of flows of Brouwer homeomorphisms
Conference on Ulam's Type Stability, Cluj-Napoca, Rumunia, 4 - 9 July, 2016, lecture: On the stability of a generalized Fréchet functional equation with constant coefficients
The 22nd International Conference on Difference Equations and Applications 2016, Osaka, Japonia, 24 - 29 July, 2016, lecture: On topological invariants of Brouwer flows
21st European Conference on Iteration Theory, Innsbruck, Austria, 4 - 10 September, 2016, lecture: On properties of the set of regular points of a Brouwer homeomorphisms
Progress on Difference Equations 2017, Urbino, Włochy, 29 - 31 May, 2017, lecture: On topological properties of Brouwer homeomorphisms
55th International Symposium on Functional Equations, Chengdu, Chiny, 11 - 18 June, 2017, lecture: On properties of the set of invariant lines of a Brouwer homeomorphism
17th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 9 - 15 July, 2017, lecture: On properties of Brouwer flows and Brouwer homeomorphisms
Dynamical Systems, Difference and Functional Equations. In honor of Marek C. Zdun's 70th birthday, Krynica Zdrój, Polska, 4 - 8 June, 2018, lecture: From solutions of bounded variations of the linear functional equation to iteration semigroups and groups - selected results of Marek C. Zdun
56th International Symposium on Functional Equations, Graz-Mariatrost, Austria, 17 - 24 June, 2018, lecture: On the boundaries of equivalence classes of the codivergency relation for Brouwer homeomorphisms
European Conference on Iteration Theory 2018, Murcia, Hiszpania, 3 - 6 July, 2018, lecture: On translation lines for Brouwer homeomorphisms
Conference on Ulam's Type Stability, Timișoara, Rumunia, 8 - 13 October, 2018, lecture: Fixed points of a linear operator of polynomial form
Progress on Difference Equations 2019, Bragança, Portugalia, 27 - 30 May, 2019, lecture: On families of invariant lines of a Brouwer homeomorphism
57th International Symposium on Functional Equations, Jastarnia, Polska, 2 - 9 June, 2019, lecture: On foliations of the plane induced by Brouwer homeomorphisms
18th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 9 - 15 June, 2019, lecture: On fixed points of functions with values in a dq-metric space
Dynamics, Equations and Applications 2019, Kraków, Polska, 16 - 20 September, 2019, lecture: On fractional iterates of a Brouwer homeomorphism
26th International Conference on Difference Equations and Applications, Sarajevo, Bośnia i Hercegowina, 26 - 30 July, 2021, lecture: On continuity of fractional iterates of Brouwer homeomorphisms
19th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 12 - 18 September, 2021, lecture: On a construction of iterative roots of a Brouwer homeomorphism
27th International Conference on Difference Equations and Applications, Paris, Francja, 18 - 22 July, 2022, lecture: On extension of fractional iterates of a Brouwer homeomorphism from a parallelizable region
4th International Workshop on Nonlinear Analysis and its Applications, Sapanca, Turcja, 12 - 15 October, 2022, lecture: On a matching property for invariant lines of a Brouwer homeomorphism
59th International Symposium on Functional Equations, Hajdúszoboszló, Węgry, 18 - 25 June, 2023, lecture: On iterative roots of a Brouwer homeomorphism generating foliations of the plane
28th International Conference on Difference Equations and Applications, Phitsanulok, Tajlandia, 17 - 21 July, 2023, lecture: On Brouwer homeomorphisms generating foliations of the plane
20th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 17 - 23 September, 2023, lecture: On foliations consisting of invariant lines of a Brouwer homeomorphism
60th International Symposium on Functional Equations, Kościelisko, Polska, 9 - 15 June, 2024, lecture: On iterative roots of a Brouwer homeomorphism having a matching property
29th International Conference on Difference Equations and Applications, Paryż, Francja, 24 - 28 June, 2024, lecture: On limit sets of Brouwer homeomorphisms generating foliations of the plane
61st International Symposium on Functional Equations, Cluj-Napoca, Rumunia, 15 - 21 June, 2025, lecture: On the form of the set of irregular points for a class of Brouwer homeomorphisms
30th International Conference on Difference Equations and Applications, Guangzhou, Chiny, 15 - 19 July, 2025, lecture: On limit sets and fractional iterates of Brouwer homeomorphisms

Membership in scientific committees, editorial offices, etc.

Polskie Towarzystwo Matematyczne PTM - członek

Honors and Awards

State Award:

2003 Brązowy Krzyż Zasługi

2015 Medal Komisji Edukacji Narodowej

University Awards WSP/AP/UP:

Nagrody Rektora: 1994, 2006

Scienticic Awards:

Publications

Articles:

I. Aboutaib, C. Benzarouala, J. Brzdęk, Z. Leśniak, L. Oubbi, Ulam stability of a general linear functional equation in modular spaces, Symmetry 14 (2022), ID: 2468: 12 pp.
J. Brzdęk, Z. Leśniak, R. Malejki, On the stability of a generalized Fréchet functional equation with respect to hyperplanes in the parameter space, Symmetry 13 (2021), ID: 384: 21 pp.
A. Bahyrycz, J. Brzdęk, El-s. El-hady, Z. Leśniak, On Ulam stability of functional equations in 2-normed spaces - a survey, Symmetry 13 (2021), ID: 2200: 19 pp.
J. Brzdęk, A. Fošner, Z. Leśniak, A note on asymptotically approximate generalized Lie derivations, J. Fixed Point Theory Appl. 22 (2020), Article:40: 13
Z. Leśniak, On the topological conjugacy of Brouwer flows, Bull. Malays. Math. Sci. Soc. 42 (2019), 1639-1655
Z. Leśniak, On families of invariant lines of a Brouwer homeomorphism, J. Difference Equ. Appl. 25 (2019), 1363-1371
Z. Leśniak, On properties of the set of invariant lines of a Brouwer homeomorphism, J. Difference Equ. Appl. 24 (2018), 746-752
J. Brzdęk, Z. Leśniak, R. Malejki, On the generalized Fréchet functional equation with constant coefficients and its stability, Aequationes Math. 92 (2018), 355-373
J. Brzdęk, El-s. El-hady, Z. Leśniak, On fixed points of a linear operator of polynomial form of order 3, J. Fixed Point Theory Appl. 20 (2018), Article:85: 10
J. Brzdęk, El-s. El-hady, Z. Leśniak, Fixed-point theorem in classes of function with values in a dq-metric space, J. Fixed Point Theory Appl. 20 (2018), Article:143: 16
Z. Leśniak, On the topological equivalence of flows of Brouwer homeomorphisms, J. Difference Equ. Appl. 22 (2016), 853-864
J. Brzdęk, El-s. El-hady, W. Förg-Rob, Z. Leśniak, A note on solutions of a functional equation arising in a queueing model for a LAN gateway, Aequationes Math. 90 (2016), 671-681
J. Brzdęk, L. Cădariu, K. Ciepliński, A. Fošner, Z. Leśniak, Survey on recent Ulam stability results concerning derivations, J. Funct. Spaces 2016, Article ID 1235103: 9
Z. Leśniak, Y.-G. Shi, Topological conjugacy of piecewise monotonic functions of nonmonotonicity height ≥1 , J. Math. Anal. Appl. 423 (2015), 1792 -1803
A. Bahyrycz, J. Brzdęk, Z. Leśniak, On approximate solutions of the generalized Volterra integral equation, Nonlinear Anal. Real World Appl. 20 (2014), 59-66
Z. Leśniak, On Strongly Irregular Points of a Brouwer Homeomorphism Embeddable in a Flow, Abstr. Appl. Anal. 2014, Article ID 638784: 7
J. Brzdęk, K. Ciepliński, Z. Leśniak, On Ulam's type stability of the linear equation and related issues, Discrete Dyn. Nat. Soc. 2014, Art. ID 536791: 14 pp.
K. Ciepliński, Z. Leśniak, On conjugacy equation in dimension one, Banach Center Publ. 99 (2013), 31-44
Y.-G. Shi, Lin Li, Z. Leśniak, On conjugacy of r-modal interval maps with non-monotonicity height equal to 1, J. Difference Equ. Appl. 19 (2013), 573-584
Z. Leśniak, On the structure of Brouwer homeomorphisms embeddable in a flow, Abstr. Appl. Anal., vol. 2012 (2012), Article ID 248413, 8 str.
Z. Leśniak, Yong-Guo Shi, One class of planar rational involutions, Nonlinear Anal. 74 (2011), No. 17, 6097-6104.
Z. Leśniak, On fractional iterates of a free mapping embeddable in a flow, J. Math. Anal. Appl. 366 (2010), 310-318.
Z. Leśniak, On a decomposition of the plane for a flow of free mappings, Publ. Math. Debrecen 75 (2009), No. 1-2, 191-202.
Z. Leśniak, On the existence of analytic solutions of the d'Alembert equation, Int. J. Pure Appl. Math. 48 (2008), No. 3, 385-397.
Z. Leśniak, On the first prolongational limit set of flows of free mappings, Tamkang J. Math. 39, No 3 (2008), 263-269.
Z. Leśniak, On boundary orbits of a flow of free mappings of the plane, Int. J. Pure Appl. Math. 42 (2008), No. 1, 5-11.
Z. Leśniak, On boundaries of parallelizable regions of flows of free mappings, Abstr. Appl. Anal., vol. 2007, Article ID 31693, 8 str. (2007).
Z. Leśniak, On maximal parallelizable regions of flows of the plane, Int. J. Pure Appl. Math. 30 (2006), No. 2, 151-156.
Z. Leśniak, On parallelizable regions of flows of the plane, Grazer Math. Ber. 350 (2006), 175-183.
Z. Leśniak, On parallelizability of flows of free mappings, Aequationes Math. 71 (2006), No. 3, 280-287.
Z. Leśniak, On an equivalence relation for free mappings embeddeable in a flow, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 17 (2003), No 7, 1911-1915.
Z. Leśniak, On fractional iterates of a homeomorphism of the plane, Ann. Polon. Math. 79 (2002), No.2, 129-137.
Z. Leśniak, On continuous iteration groups of some homeomorphisms of the plane, Grazer Math. Ber. 334 (1997), 193-198.
Z. Leśniak, Constructions of fractional iterates of Sperner homeomorphisms of the plane, Förg-Rob, W. (ed.) et al., Iteration theory. Proceedings of the European conference, ECIT '92, Batschuns, Austria, September 13--19, 1992. Singapore: World Scientific. 182-192 (1996).
Z. Leśniak, On the system of the Abel equations on the plane, Ann. Math. Sil. 9 (1995), 105-122.
M.C. Zdun, Z. Leśniak, On iteration groups of singularity-free homeomorphisms of the plane, Ann. Math. Sil. 8 (1994), 203-210.
Z. Leśniak, On simultaneous Abel inequalities, Opuscula Math. 14 (1994), 107-115.
Z. Leśniak, On homeomorphic and diffeomorphic solutions of the Abel equation on the plane, Ann. Polon. Math. 58 (1993), No 1, 7-18.

Dissertations:

Równanie Abela na płaszczyźnie i pewne jego zastosowania w teorii iteracji (maszynopis), praca doktorska pod kierunkiem Prof. dr. hab. M. C. Zduna, WSP Kraków, 1993.