zbMATH — the first resource for mathematics

Batko, Bogdan

Compute Distance To:
 Author ID: batko.bogdan Published as: Batko, B.; Batko, Bogdan
 Documents Indexed: 24 Publications since 1999
all top 5

Co-Authors

 13 single-authored 6 Mrozek, Marian 3 Tabor, Jacek 2 Brzdęk, Janusz 1 Kaczynski, Tomasz 1 Kominek, Zbigniew 1 Mischaikow, Konstantin 1 Przybylski, Mateusz 1 Wanner, Thomas
all top 5

Serials

 3 Journal of Mathematical Analysis and Applications 3 Aequationes Mathematicae 3 SIAM Journal on Applied Dynamical Systems 2 Publicationes Mathematicae 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
all top 5

Fields

 15 Difference and functional equations (39-XX) 4 General topology (54-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX)

Citations contained in zbMATH Open

20 Publications have been cited 114 times in 73 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
On the stability of an alternative functional equation. Zbl 1096.39026
Batko, Bogdan
2005
Stability of Dhombres’ equation. Zbl 1066.39027
Batko, Bogdan
2004
Stability of the generalized alternative Cauchy equation. Zbl 0951.39007
Batko, B.; Tabor, J.
1999
A fixed point theorem and the Hyers-Ulam stability in Riesz spaces. Zbl 1391.39031
Batko, Bogdan; Brzdęk, Janusz
2013
Weak index pairs and the Conley index for discrete multivalued dynamical systems. Zbl 1350.54027
Batko, Bogdan; Mrozek, Marian
2016
The stability of Dhombres’ equation in Riesz spaces. Zbl 1306.39015
Batko, Bogdan
2013
Weak index pairs and the Conley index for discrete multivalued dynamical systems. II: Properties of the index. Zbl 1383.54038
Batko, Bogdan
2017
Superstability of the Cauchy equation with squares in finite-dimensional normed algebras. Zbl 1320.39031
Batko, Bogdan
2015
Spectral representation theory and stability of the multiplicative Dhombres functional equation in $$f$$-algebras. Zbl 1320.39030
Batko, Bogdan
2015
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
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2020
Stability of the exponential functional equation in Riesz algebras. Zbl 07023191
Batko, Bogdan
2014
On approximate solutions of functional equations in vector lattices. Zbl 07022601
Batko, Bogdan
2014
The Euler-Poincaré characteristic of index maps. Zbl 1108.37009
Batko, Bogdan; Mrozek, Marian
2007
On the stability of Mikusiński’s equation. Zbl 1119.39304
Batko, Bogdan
2005
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
Superstability of the Cauchy equation with squares in finite-dimensional normed algebras. Zbl 1320.39031
Batko, Bogdan
2015
Spectral representation theory and stability of the multiplicative Dhombres functional equation in $$f$$-algebras. Zbl 1320.39030
Batko, Bogdan
2015
Stability of the exponential functional equation in Riesz algebras. Zbl 07023191
Batko, Bogdan
2014
On approximate solutions of functional equations in vector lattices. Zbl 07022601
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
all top 5

Cited by 70 Authors

 14 Batko, Bogdan 13 Mrozek, Marian 12 Chung, Jaeyoung 6 Brzdęk, Janusz 6 Kaczynski, Tomasz 5 Choi, Chang-Kwon 5 Rassias, John Michael 4 Dłotko, Paweł 4 Moszner, Zenon 4 Wanner, Thomas 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 Dong, Yongquan 1 Dong, Yunbai 1 Fugacci, Ulderico 1 Garcia, Gabriela 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 Kresch, Andrew 1 Lasoń, Michał 1 Mari, Jean-Luc 1 Masoni, Filippo 1 Masood, Talha Bin 1 Michałek, Mateusz 1 Moghimi, Mohammad Bagher Farshbaf 1 Mora, Gerardo 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 Suuriniemi, Saku 1 Száz, Árpád 1 Tabor, Jacek 1 Trevisan, Francesco 1 Xu, Bing 1 Ẓelazna, Natalia 1 Zheng, Beixiong
all top 5

Cited in 34 Serials

 9 Aequationes Mathematicae 7 Journal of Mathematical Analysis and Applications 5 Foundations of Computational Mathematics 4 Discrete & Computational Geometry 4 Abstract and Applied Analysis 3 SIAM Journal on Applied Dynamical Systems 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 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 Annales Mathematicae Silesianae 1 Journal of Applied Mathematics 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
all top 5

Cited in 22 Fields

 41 Difference and functional equations (39-XX) 16 Algebraic topology (55-XX) 11 Computer science (68-XX) 10 Manifolds and cell complexes (57-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 5 Operator theory (47-XX) 5 General topology (54-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 Functional analysis (46-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 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)