Members of the laboratory
- Ferenc Hartung, DSc, professor, co-head of laboratory
- Mihály Pituk, DSc, professor, co-head of laboratory
- László Horváth, PhD, associate professor
Former members of the laboratory
- István Győri†, DSc, professor emeritus, founding head of laboratory
- David Reynolds, Senior Lecturer, School of Mathematical Sciences, Dublin City University
- Bernát Slezák, PhD, associate professor
- Essam Awwad, PhD student, (degree awarded in 2013)
- Attila Benkő, PhD student, (degree awarded in 2015)
- Beáta Krasznai, assistant professor
- Nahed A. Mohamady, PhD student (degree awarded in 2017)
Activity of the research laboratory
Many biological, physical, chemical, engineering and economic processes can be modeled with equations where the actual change of the system also depends on its previous state. Delayed differential and difference equations can be used to model these processes. It is important for applications to obtain as much information as possible about the properties of the solutions of the models. The aim of our research is to develop new theoretical and numerical methods and apply them to practical problems, with which we can obtain new scientific results on the asymptotic behavior, stability, oscillation and differentiability of solutions of delayed differential and difference equations. Related to this, research is also being conducted in connection with the investigation of integral equations, impulsive equations, and integral and differential inequalities. Our results are mainly motivated by mathematical equations describing biological processes, neural networks and by models of mechanical motions.
Research results
Our research is related to the investigation of the qualitative properties of differential and difference equations, primarily to questions of stability, boundedness, positivity, asymptotic characterization of solutions, continuous and discrete integral inequalities and equations with state-dependent delays. Among the achieved results, we highlight a result related to the exact oscillation bound of a linear delayed differential equation, which has been an open question in the literature for 30 years In the research period 2019-2029, we have published 34 research papers, including 1 monograph, and 32 have appeared in international journals with impact factor. The total impact factor of these papers is 62,07. We have counted 827 citations of our papers in the last 5 years.
Introduction of the Founder
István Győri (1943-2022, MSc, University of Szeged, Hungary, 1968; CSc, Hungarian Academy of Sciences, Budapest, 1976; DSc Hungarian Academy of Sciences, Budapest, 1992) worked at A. Szent-Györgyi Medical University, Szeged from
1968 to 1993, where he was the founder and head of Computer Center (1970-1993). He was a Visiting Professor at University of Rhode Island (Providence, USA) from 1987 to 1989. He is a professor and head of Department of Mathematics and Computing, University of Pannonia (formerly University of Veszprém) from 1993. He served as a rector of University of Veszprém 1995-98. He received Grünwald Géza Award, János Bolyai Mathematical Society, Hungary, 1978; Neumann János Award, János Neumann Society of Computer Science, Hungary, 1992; “Prof. Hermann Niemmeyer Fernandez” honorary professorship at University of Santiago, Chile, 1994; Széchenyi Research Scholarship, Ministry of Education, Hungary 1997-2000; Bolyai Farkas scientific award from “Arany János Foundation for the Science” (foundation of the Hungarian Academic of Sciences), 2000; Albert Szent-Györgyi Research Award, Ministry of Education, Hungary, 2000; Order of Merit of the Hungarian Republic, Knight's Cross, 2009, Eötvös József-wreath award of the Hungarian Academy of Sciences (2018). He is a founding member of Information Science & Technology PhD School, University of Pannonia; Editor-in-chief of „International Journal of Qualitative Theory of Differential Equations and Applications” (India); Member of the editorial board of „Functional Differential Equations” (Izrael); „Advances in Difference Equatons” (USA); „Journal of Advanced Research in Dynamical and Control Systems” (USA); „Communications in Differential and Difference Equations” (India); „International Journal of Difference Equations and Dynamical Systems” (India); „International Journal of Dynamical Systems and Differential Equations” (India); „Far East Journal of Mathematics” (India); „Pacific-Asian Journal of Mathematics and Mathematical Sciences” (USA); „Mathematical Notes” (Miskolc, Hungary); „Alkalmazott Matematikai Lapok” (Hungary). István Győri has published 231 papers, including 1 research monograph and 151 journal papers, and he has more than 3700 independent references for his work.