Differential Equations and their Applications

Activity of the research laboratory

The task of the research laboratory is to study the qualitative and quantitative properties of the solutions of ordinary, functional and partial differential equations, integro-differential equations and difference equations. Similar fields such as integral equations and integral and differential inequalities are also studied. Our aim is to develop new theoretical and numerical methods and applications to practical problems. 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 stability investigations and asymptotic descriptions of the solutions of differential and difference equations and to integral inequalities. We published 42 research papers between 2008-2012. We have recorded 892 independent references to our papers in the past 5 years. We have given 7 plenary lectures, 35 invited lectures and 15 contributed talks in sessions at international conferences. In addition, we have given 17 invited talks at seminars of different Hungarian and foreign universities.

Introduction of the head

thumb gyori-istvanIstván Győri (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. 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 1 monography and 134 research papers in mathematics (including 95 papers in refereed international journals) and 49 research papers in medical informatics, and he has more than 1500 independent references for his work. 

the project is supported
hungarys renewal
szechenyi plan
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