## Batko, Bogdan

Compute Distance To:
 Author ID: batko.bogdan Published as: Batko, Bogdan; Batko, B.
 Documents Indexed: 24 Publications since 1999 Co-Authors: 8 Co-Authors with 11 Joint Publications 244 Co-Co-Authors
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### Co-Authors

 13 single-authored 6 Mrozek, Marian 3 Tabor, Jacek 2 Brzdęk, Janusz 1 Kaczynski, Tomasz 1 Kominek, Zygfryd 1 Mischaikow, Konstantin 1 Przybylski, Mateusz 1 Wanner, Thomas
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### Serials

 3 Journal of Mathematical Analysis and Applications 3 Aequationes Mathematicae 3 SIAM Journal on Applied Dynamical Systems 2 Publicationes Mathematicae Debrecen 2 Abstract and Applied Analysis 1 Bulletin of the Australian Mathematical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Polonici Mathematici 1 Topology and its Applications 1 Discrete & Computational Geometry 1 Mathematical Inequalities & Applications 1 Foundations of Computational Mathematics 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 Advances in Difference Equations
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### Fields

 16 Difference and functional equations (39-XX) 4 General topology (54-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

21 Publications have been cited 123 times in 80 Documents Cited by Year
Coreduction homology algorithm. Zbl 1163.68041
Mrozek, Marian; Batko, Bogdan
2009
Stability of an alternative functional equation. Zbl 1133.39025
Batko, Bogdan
2008
On approximation of approximate solutions of Dhombres’ equation. Zbl 1133.39026
Batko, Bogdan
2008
Stability of an alternative Cauchy equation on a restricted domain. Zbl 0935.39011
Batko, Bogdan; Tabor, Jacek
1999
Stability of the generalized alternative Cauchy equation. Zbl 0951.39007
Batko, B.; Tabor, J.
1999
Stability of Dhombres’ equation. Zbl 1066.39027
Batko, Bogdan
2004
On the stability of an alternative functional equation. Zbl 1096.39026
Batko, Bogdan
2005
Weak index pairs and the Conley index for discrete multivalued dynamical systems. Zbl 1350.54027
Batko, Bogdan; Mrozek, Marian
2016
A fixed point theorem and the Hyers-Ulam stability in Riesz spaces. Zbl 1391.39031
Batko, Bogdan; Brzdęk, Janusz
2013
Linking combinatorial and classical dynamics: Conley index and Morse decompositions. Zbl 1456.37040
Batko, Bogdan; Kaczynski, Tomasz; Mrozek, Marian; Wanner, Thomas
2020
Weak index pairs and the Conley index for discrete multivalued dynamical systems. II: Properties of the index. Zbl 1383.54038
Batko, Bogdan
2017
The stability of Dhombres’ equation in Riesz spaces. Zbl 1306.39015
Batko, Bogdan
2013
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2020
Spectral representation theory and stability of the multiplicative Dhombres functional equation in $$f$$-algebras. Zbl 1320.39030
Batko, Bogdan
2015
Superstability of the Cauchy equation with squares in finite-dimensional normed algebras. Zbl 1320.39031
Batko, Bogdan
2015
Homology of representable sets. Zbl 1198.68285
Mrozek, Marian; Batko, Bogdan
2010
On the stability of Mikusiński’s equation. Zbl 1119.39304
Batko, Bogdan
2005
Note on superstability of Mikusiński’s functional equation. Zbl 1248.39021
Batko, Bogdan
2011
The Euler-Poincaré characteristic of index maps. Zbl 1108.37009
Batko, Bogdan; Mrozek, Marian
2007
On approximate solutions of functional equations in vector lattices. Zbl 1474.39067
Batko, Bogdan
2014
Stability of the exponential functional equation in Riesz algebras. Zbl 1474.39068
Batko, Bogdan
2014
Linking combinatorial and classical dynamics: Conley index and Morse decompositions. Zbl 1456.37040
Batko, Bogdan; Kaczynski, Tomasz; Mrozek, Marian; Wanner, Thomas
2020
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2020
Weak index pairs and the Conley index for discrete multivalued dynamical systems. II: Properties of the index. Zbl 1383.54038
Batko, Bogdan
2017
Weak index pairs and the Conley index for discrete multivalued dynamical systems. Zbl 1350.54027
Batko, Bogdan; Mrozek, Marian
2016
Spectral representation theory and stability of the multiplicative Dhombres functional equation in $$f$$-algebras. Zbl 1320.39030
Batko, Bogdan
2015
Superstability of the Cauchy equation with squares in finite-dimensional normed algebras. Zbl 1320.39031
Batko, Bogdan
2015
On approximate solutions of functional equations in vector lattices. Zbl 1474.39067
Batko, Bogdan
2014
Stability of the exponential functional equation in Riesz algebras. Zbl 1474.39068
Batko, Bogdan
2014
A fixed point theorem and the Hyers-Ulam stability in Riesz spaces. Zbl 1391.39031
Batko, Bogdan; Brzdęk, Janusz
2013
The stability of Dhombres’ equation in Riesz spaces. Zbl 1306.39015
Batko, Bogdan
2013
Note on superstability of Mikusiński’s functional equation. Zbl 1248.39021
Batko, Bogdan
2011
Homology of representable sets. Zbl 1198.68285
Mrozek, Marian; Batko, Bogdan
2010
Coreduction homology algorithm. Zbl 1163.68041
Mrozek, Marian; Batko, Bogdan
2009
Stability of an alternative functional equation. Zbl 1133.39025
Batko, Bogdan
2008
On approximation of approximate solutions of Dhombres’ equation. Zbl 1133.39026
Batko, Bogdan
2008
The Euler-Poincaré characteristic of index maps. Zbl 1108.37009
Batko, Bogdan; Mrozek, Marian
2007
On the stability of an alternative functional equation. Zbl 1096.39026
Batko, Bogdan
2005
On the stability of Mikusiński’s equation. Zbl 1119.39304
Batko, Bogdan
2005
Stability of Dhombres’ equation. Zbl 1066.39027
Batko, Bogdan
2004
Stability of an alternative Cauchy equation on a restricted domain. Zbl 0935.39011
Batko, Bogdan; Tabor, Jacek
1999
Stability of the generalized alternative Cauchy equation. Zbl 0951.39007
Batko, B.; Tabor, J.
1999
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### Cited by 77 Authors

 16 Mrozek, Marian 14 Batko, Bogdan 12 Chung, Jaeyoung 6 Brzdęk, Janusz 6 Kaczynski, Tomasz 6 Wanner, Thomas 5 Choi, Chang-Kwon 5 Rassias, John Michael 4 Dłotko, Paweł 4 Moszner, Zenon 3 Allili, Madjid 3 Ciepliński, Krzysztof 3 Landi, Claudia 3 Mischaikow, Konstantin 3 Nanda, Vidit 3 Specogna, Ruben 2 Almahalebi, Muaadh 2 Cădariu, Liviu I. 2 DeFloriani, Leila 2 Ghrist, Robert W. 2 Iuricich, Federico 2 Juda, Mateusz 2 Lee, Bogeun 1 Alonso Rodríguez, Ana 1 Bac, Alexandra 1 Bertolazzi, Enrico 1 Brillouët-Belluot, Nicole 1 Charifi, Ahmed 1 Chen, Lihong 1 Corriveau, David 1 Curry, Justin Michael 1 Dey, Tamal Krishna 1 Ding, Yiming 1 Dong, Yunbai 1 Fugacci, Ulderico 1 Ghiloni, Riccardo 1 Gonzalez-Lorenzo, Aldo 1 Graff, Grzegorz 1 Harker, Shaun 1 Ju, Yumin 1 Kaczkowska, Agnieszka 1 Kettunen, Lauri 1 Kim, Dohan 1 Knudson, Kevin P. 1 Kresch, Andrew 1 Lasoń, Michał 1 Mari, Jean-Luc 1 Masoni, Filippo 1 Masood, Talha Bin 1 McGehee, Richard P. 1 Meyer, Katherine J. 1 Michałek, Mateusz 1 Moghimi, Mohammad Bagher Farshbaf 1 Najati, Abbas 1 Najdecki, Adam 1 Natarajan, Vijay 1 Noori, Batool 1 Nuino, Ahmed 1 Pellikka, Matti 1 Pilarczyk, Paweł 1 Przybylski, Mateusz 1 Rathod, Abhishek 1 Real, Pedro 1 Scaramuccia, Sara 1 Sikorska, Justyna 1 Slechta, Ryan 1 Srzednicki, Roman 1 Sun, Yun 1 Suuriniemi, Saku 1 Száz, Árpád 1 Tabor, Jacek 1 Thorpe, Justin 1 Trevisan, Francesco 1 Wang, Bei 1 Wiseman, Jim 1 Xu, Bing 1 Ẓelazna, Natalia
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### Cited in 38 Serials

 9 Aequationes Mathematicae 7 Journal of Mathematical Analysis and Applications 5 Discrete & Computational Geometry 5 Foundations of Computational Mathematics 5 SIAM Journal on Applied Dynamical Systems 4 Abstract and Applied Analysis 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Results in Mathematics 2 Topology and its Applications 2 Computational Geometry 2 Advances in Difference Equations 2 Journal of Function Spaces 1 Bulletin of the Australian Mathematical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Applied Mathematics and Computation 1 Collectanea Mathematica 1 Journal of Differential Equations 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Imaging and Vision 1 Experimental Mathematics 1 Advances in Computational Mathematics 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Mathematicae Silesianae 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics 1 Boundary Value Problems 1 Proyecciones 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Journal of Computational Dynamics 1 Sahand Communications in Mathematical Analysis 1 Journal of Applied and Computational Topology
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### Cited in 24 Fields

 42 Difference and functional equations (39-XX) 20 Algebraic topology (55-XX) 14 Manifolds and cell complexes (57-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Computer science (68-XX) 7 Numerical analysis (65-XX) 6 General topology (54-XX) 4 Operator theory (47-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Optics, electromagnetic theory (78-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)