Podstrona: Scientific activity / Wizytówka pracownika PRz

ORCID ID:     https://orcid.org/0000-0002-6460-4749

• Indeks Hirscha according to Web of Science database: 9
• Indeks Hirscha according to Scopus database: 9
• Citations according to Web of Science database: 431
• Citations according to Scopus database: 473
• Citations according to MathSciNet database: 265
• Organizer of the Symposium “Compactness Conditions in Theory of Nonlinear Integral Equations” organized within the framework of the 14th International Conference of Numerical Analysis and Applied Mathematics 2016 (ICNAAM 2016), 19-25 September 2016, Rhodes, Greece
• Guest editor of the Special Issue “Compactness Conditions in the Theory of Nonlinear Differential and Integral Equations” (J. Banaś, M. Mursaleen, B. Rzepka, K. Sadarangani), Abstract and Applied Analysis, 2013
• Member of the organizing committee of the international conference Methods of Nonlinear Analysis in Differential and Integral Equations, Department of Nonlinear Analysis, Rzeszów University of Technology, 15-16 May 2021 and 22-23 May 2021
• Department of Mathematics, University of Würzburg, Germany (1-4.09.2022): talk „Measures of Noncompactness in Function Spaces: Theory” during the Kolloquiumsvortrag
• Reviewer of the papers submitted to the journals: i.a. Commentationes Mathematicae, Fixed Point Theory and Applications, The Journal for Analysis and Its Applications, Journal of Function Spaces and Applications, Journal of Mathematics and Applications, Differential Equations and Applications, Journal of Function Spaces, Mathematische Nachrichten, Abstract and Applied Analysis, Journal of Inequalities and Applications, Mediterranean Journal of Mathematics, Electronic Journal of Mathematical Analysis and Application, Advances in Difference Equations, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Mathematical Reviews

List of publications

1. J. Banaś, B. Rzepka: Functions related to convexity and smoothness of normed spaces, Rendiconti del Circolo Matematico di Palermo 46 (1997), 395-424.
2. J. Banaś, B. Rzepka: An application of a measure of noncompactness in the study of asymptotic stability, Applied Mathematics Letters 16 (2003), 1-6.
3. J. Banaś, B. Rzepka: On existence and asymptotic stability of solutions of a nonlinear integral equation, Journal of Mathematical Analysis Applications 284 (2003), 165-173.
4. J. Banaś, B. Rzepka: On asymptotic stable solutions of nonlinear quadratic integral equation of Volterra-Stieltjes type, Nonlinear Functional Analysis and Applications, Vol. 8, No. 2 (2003), 287-306.
5. J. Banaś, B. Rzepka: On existence and asymptotic behavior of solutions of infinite systems of differential equations, PanAmerican Mathematical Journal Vol. 14, No. 1 (2004), 105-115.
6. B. Rzepka: Asymptotic behaviour of solutions of the Darboux problem for nonlinear hyperbolic differential equation, Archives of Inequalities and Applications 2 (2004), 95-112.
7. W. G. El-Sayed, B. Rzepka: Nondecreasing solutions of a quadratic integral equation of Urysohn type, Computers and Mathematics with Applications 51 (2006), 1065-1074.
8. B. Rzepka, K. Sadarangani: On solutions of an infinite system of singular integral equations, Mathematical and Computer Modelling 45 (2007), 1265-1271.
9. J. Banaś, B. Rzepka: Monotonic solutions of a quadratic integral equation of fractional order, Journal of Mathematical Analysis and Applications 332 (2007), 1371-1379.
10. B. Rzepka: On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order, Topological Methods in Nonlinear Analysis, Journal of the Juliusz Schauder Center, Volume 32 (2008), 89-102.
11. J. Banaś, B. Rzepka: Nondecreasing solutions of a quadratic singular Volterra integral equation, Mathematical and Computer Modelling 49 (2009), 488-496.
12. J. Banaś, B. Rzepka: On local attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation, Applied Mathematics and Computation 213 (2009), 102-111.
13. W. Aziz, H. Leiva, N. Merentes, B. Rzepka: A representation theorem for j-bounded variation of functions in the sense of Riesz, Commentationes Mathematicae Vol. 50, No. 2 (2010), 109-120.
14. T. Ereú, N. Merentes, B. Rzepka, J. L. Sánchez: On composition operator in the algebra of functions of two variables with bounded total Φ-variation in Schramm sense, Journal of Mathematics and Applications Vol. 33 (2010), 35-50.
15. J. Banaś, B. Rzepka: The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders, Computers and Mathematics with Applications 64 (2012), 3108-3116.
16. J. Banaś, M. Mursaleen, B. Rzepka, K. Sadarangani: Compactness Conditions in the Theory of Nonlinear Differential and Integral Equations, Abstract and Applied Analysis (2013) – guest editor.
17. M.A. Darwish, B. Rzepka: Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type, Journal of Function Spaces Volume 2014, Article ID 192542, 9 pages.
18. J. Rocha, B. Rzepka, K. Sadarangani: Fixed point theorems for contractions of rational type with PPF dependence in Banach spaces, Journal of Function Spaces Volume 2014, Article ID 416187, 8 pages.
19. O. Mejía, N. J. Merentes Diaz, B. Rzepka: Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation, Journal of Function Spaces Volume 2014, Article ID 606307, 8 pages.
20. B. Rzepka: On local attractivity and asymptotic stability of solutions of nonlinear Volterra-Stieltjes integral equations in two variables, Zeitschrift für Analysis und ihre Anwendungen 36(1)  (2017), 79-98.
21. J. Banaś, B. Rzepka: On solutions of infinite systems of integral equations of Hammerstein type, J. Nonlin. Convex Analysis 18, 2 (2017), 261-278.
22. B. Rzepka: Solvability of a nonlinear Volterra-Stieltjes integral equation in the class of bounded and continuous functions of two variables, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112 (2018), 311-329.
23. B. Rzepka, J. Ścibisz: The superposition operator in the space of functions continuous and converging at infinity on the real half-axis, Advances in Nonlinear Analysis 9 (2020), 1205-1213.
24. P. Bugiel, S. Wędrychowicz, B. Rzepka, A few problems connected with invariant measures of Markov maps – verification of some claims and opinions that circulate in the literature, Advances in Nonlinear Analysis 9 (2020), 1607-1616.
25. P. Bugiel, S. Wędrychowicz, B. Rzepka, Fixed point of some Markov operator of Frobenius-Perron type generated by a random family of point-transformations in R^d, Advances in Nonlinear Analysis 10 (2021), 972-981.
26. P. Bugiel, S. Wędrychowicz, B. Rzepka, Distortion inequality for a Markov operator generated by a randomly perturbed family of Markov maps in ℝ^d, Advances in Nonlinear Analysis 11 (2022), 225-242.
27. J. Banaś, R. Nalepa, B. Rzepka, The study of the solvability of infinite systems of integral equations via measures of noncompactness, Numerical Functional Analysis and Optimization, Vol. 43, Issue 8 (2022), 961-986.
28. J. Appell, A. Chlebowicz, S. Reinwand, B. Rzepka, Can one recognize a function from its graph?, Zeitschrift für Analysis und Ihre Anwendungen 42 no. 1/2 (2023), 203-233.

Chapters in books and monographs

• J. Banaś, N. Merentes, B. Rzepka: Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis in “Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness” (Editors: J. Banaś, M. Jleli, M. Mursaleen, B. Samet, C. Vetro), Springer Nature Singapore, Singapore 2017; pp. 1-57.

Monographs

• J. Banaś, B. Rzepka: Wykłady Matematyki Finansowej, Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów 2019.
• J. Banaś, B. Rzepka: Ocena Efektywności Inwestycji, Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów 2019.

Academic textbooks, scripts and supporting materials

• J. Banaś, D. Bród, B. Rzepka: Repetytorium z analizy matematycznej, Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów 2010.

Conferences

• Forth International Conference on Function Spaces, 28.08–1.09.1995, Zielona Góra, Poland
  
• ICCAM 2000 – International Congress on Computational and Applied Mathematics, 17.07–21.07.2000, Katholieke Universiteit Leuven, Belgium (On the application of a measure of noncompactness in the study of asymptotic stability)
• Fifth Symposium on Nonlinear Analysis, 10–14.09.2007, Centrum Badań Nieliniowych im. J.P. Schaudera Uniwersytetu Mikołaja Kopernika w Toruniu, Toruń, Poland (On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order)
• VI Sympozjum Nieliniowej Analizy, 7–9.09.2011, Centrum Badań Nieliniowych im. J.P. Schaudera Uniwersytetu Mikołaja Kopernika w Toruniu, Toruń, Poland (O rozwiązaniach nieskończonego układu osobliwych równań całkowych)
• Function Spaces X, 9–13.07.2012, Faculty of Mathematics and Computer Science of the Adam Mickiewicz University, Poznań, Poland (The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear fractional integral equations)
• International Conference on the Theory, Methods and Applications of Nonlinear Equations, 17–21.12.2012, Texas A&M University – Kingsville, USA (On existence of solutions of infinite systems of integral equations of fractional orders)
• 14 th International Conference of Numerical Analysis and Applied Mathematics 2016, 19-25.09.2016 Rhodes, Greece (On local attractivity and asymptotic stability of solutions of nonlinear Volterra-Stieltjes integral equations in two variables)
• 8. Forum Matematyków Polskich, 18-22.09.2017, Lublin, Poland (O rozwiązaniach nieskończonego układu równań całkowych typu Hammersteina)
• ICNPAA World Congress 2018, 3-6.07.2018, Yerevan, Armenia (Solvability of an infinite system of Hammerstein integral equations)
• UMI-SIMAI-PTM Joint Meeting, 17-20.09.2018, Wrocław, Poland (The superposition operator in the space of functions continuous and converging at infinity on the real half-axis)
• The 14th International Conference on Fixed Point Theory and its Applications, 11-14.07.2023, Transilvania University of Braşov, Rumunia (The study of the solvability of infinite systems of integral equations via measures of noncompactness)