Groupleader
Main research areas
- Study of qualitative properties of solutions of differential and difference equations.
- Development of numerical algorithms of solutions of systems of differential equations integer and fractional order.
- Study of methods of solution of stochastic partial differential equations.
Main practical research results
- Establishing criteria of relative controllability of linear discrete systems.
- Finding new representations of solutions of delayed systems of discrete equations.
- Modification of semi-analytic methods for solutions of fractional types of Lane-Emden equations and stiff-systems.
- Establishing the characterization of variability of stochastic responses in hybrid circuits.
Main research publications
- E. Braverman, J. Diblík, A. Rodkina, Z. Šmarda, Stabilization of cycles for difference equations with a noisy PF control
- J. Diblík, G. Vážanová, Existence of global solutions to nonlinear mixed-type functional differential equations
- S. Stevič, B. Iričanin, Z. Šmarda, On a symmetric bilinear system of difference equations
- L. Berezansky, J. Diblík, Z. Svoboda, Z. Šmarda, Exponential Stability Tests for Linear Delayed Differential Systems Deepending on All Delays
- J. Rebenda, Z. Šmarda, A differential transformation approach for solving functional differential equations with multiple delays
- L. Brančík, E. Kolářová, Simulation of Multiconductor Transmission Lines with Random Parameters via Stochastic Differential Equations Approach
- Y. Khan, N. Faraz, Z. Šmarda, Difference kernel iterative method for linear and nonlinear partial differential equations
