Research Interests

not necessarily in order of importance

1. Basic Global Theory of Difference Equations (Stabilty, Asymptotic Behavior, Existence Problems).
2. Group Transformation Theory Applied to the Difference Equations.
3. Oscillation and Asymptotic Behavior of Solutions of Difference Equations.
4. Oscillation and Asymptotic Behavior of Solutions of Ordinary, Delay, and Partial Differential Equations.
5. Bifurcation Theory for Discrete Dynamical Systems.
6. Monotone Discrete Dynamical Systems (Competitive and Cooperative).
7. Normal Forms for Discrete Dynamical Systems
8. Mathematical Modelling That Involves any of the Equations from Above.
9. CAS (Computer Algebra System) Implementation of Some Recent Research Results from 1.-5.
10. WEB Implementation of Some Research Results from 1.-5.