Project information
Difference equations and dynamic equations on time scales II
- Project Identification
- GA201/07/0145
- Project Period
- 1/2007 - 12/2009
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Ondřej Došlý, DrSc.
- prof. RNDr. Zuzana Došlá, DSc.
- prof. Mgr. Petr Hasil, Ph.D.
- doc. Mgr. Zuzana Pátíková, Ph.D.
- Mgr. Šárka Pechancová, Ph.D.
- prof. RNDr. Zdeněk Pospíšil, Dr.
- Mgr. Viera Růžičková, Ph.D.
- Mgr. Pavel Řehák
- prof. RNDr. Roman Šimon Hilscher, DSc.
- doc. RNDr. Michal Veselý, Ph.D.
- Mgr. Jiří Vítovec, Ph.D.
- Keywords
- Symplectic system, quadratic functional, Riccati equation, half-linear equation, asymptotic theory, oscillatory properties
- Cooperating Organization
-
Mendel University in Brno
- Responsible person Mgr. Robert Mařík, PhD.
- Responsible person prof. RNDr. Josef Diblík, DrSc.
The project is a continuation of the project with the same title which started in 2004 and will be finished this year (project 201/04/0580 of GAČR). The research team is similar to the "old" project group and the main attention will be aimed to the directions where we achieved substantial results in the recent period. In particular, we will focus our attention to the following particular topics:
- qualitative theory of second order linear, half-linear, and quasilinear difference equations,
- symplectic difference systems and associated Riccati matrix equations with applications of obtained results in the theory of second order optimality conditions,
- asymptotic properties of solutions of linear and nonlinear difference systems, including delayed systems,
- symplectic dynamic systems on time scales, unifying theory of differential and diference systems,
- qualitative theory of second order dynamic equations on time scales.
Publications
Total number of publications: 55
2007
-
Estimation of Parameters for a Predator-Prey Community
Year: 2007, type: Conference abstract
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Extension of discrete LQR-problem to symplectic systems
International Journal of Difference Equations, year: 2007, volume: 2, edition: 2
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On Orthogonal and Unitary Almost Periodic Homogeneous Linear Difference Systems
Proceedings of Colloquium on Differential and Difference Equations (Brno, 2006), year: 2007
-
On the (im)possibility of a predator-prey model identification
6. matematický workshop, year: 2007
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Perturbation of time scale quadratic functionals with variable endpoints
Advances in Dynamical Systems and Applications, year: 2007, volume: 2, edition: 2