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,
- Study of Schrödinger-Poisson systems.
Our researchers:
- doc. RNDr. Jaromír Baštinec, CSc.
- Prof. RNDr. Josef Diblík, DrSc.
- Mgr. Lenka Macálková
- Prof. Vicentiu Radulescu, Ph.D.
- Mgr. Josef Rebenda, Ph.D.
- doc. RNDr. Zdeněk Svoboda, CSc.
- doc. RNDr. Zdeněk Šmarda, CSc.
- Mgr. Gabriela Vážanová, Ph.D.
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,
- Qualitative properties of solutions and new methods analyzing Schrödinger-Poisson systems.
Main research publications
- BEREZANSKY, L., DIBLÍK, J., SVOBODA, Z., SMARDA, Z., Existence and uniqueness of solutions to vector linear delayed couple (differential and non-differential) systems, CHAOS SOLITONS; FRACTALS, 2026, 209(2), Article Number 118479 (AIS Q1, D3).
- PAPAGEORGIOU, NS., RADULESCU, V., ZHANG,W., Multiple solutions with sign information for double-phase problems with unbalanced growth, Bulletin of the London Mathematical Society, (2025) 57 638-656. (AIS Q1,D2).
- DOU, X., HE, X., . RADULESCU, V.: Multiplicity of positive solutions for the fractional Schrödinger–Poisson system with critical nonlocal term, Bulletin of Mathematical Sciences, 2024, Vol.14(2), 56 pp. (AIS Q1,D2).
- LIU, Z.; RADULESCU, V.; ZHANG, J. A planar Schrodinger-Newton system with Trudinger-Moser critical growth. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, Vol. 62, No. 4, 1-31. (AIS Q1, D1)
- DIBLÍK, J.; KHUSAINOV, D.; SHATYRKO, A.; BAŠTINEC, J.; SVOBODA, Z. Absolute Stability of Neutral Systems with Lurie Type Nonlinearity. Advances in Nonlinear Analysis, 2022, Vol. 11, No. 1, 726-740. (AIS Q1, D1)
- BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Simple tests for uniform exponential stability of a linear delayed vector differential equation. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, Vol. 8, No. 3, 1537-1542. (AIS Q1, D1)
- DIBLÍK, J. Bounded solutions to systems of fractional discrete equations. Advances in Nonlinear Analysis, 2022, Vol. 11, No. 1, 1614-1630. (AIS Q1, D1)
- BRAVERMAN, E.; DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. Stabilization of cycles for difference equations with a noisy PF control. AUTOMATICA, 2020, Vol. 115, No. 1, 1-8. (AIS Q1, D1)
