Thesis supervisor: Mihály Pituk
Location of studies (in Hungarian): University of Pannonia, Faculty of Information Technology, Department of Mathematics Abbreviation of location of studies: PE
Description of the research topic:
Many problems in biology and technology can be described by discrete and continuous dynamical systems. The aim of the research is to study the qualitative and quantitative properties of these types of dynamical systems using theoretical and computational methods with the emphasis on the stability and asymptotic behavior of the solutions. The use and development of various mathematical softwares are important tools of the investigations.
Preliminary results can be found in the following publications:
S. Elaydi: An Introduction to Difference Equations, Springer, New York, 2005
J. Hale and S. J. Verduyn-Lunel: Introduction to Functional Differential Equations, Springer, New York, 1993
A. Bellen and M. Zenarro: Numerical Methods for Delay Differential Equations, Clarendon Press, Oxford, 2003