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Project information
Linear Hamiltonian dynamic systems and half-linear dynamic equations

Project Identification
KJB1019407
Project Period
1/2004 - 12/2006
Investor / Pogramme / Project type
Academy of Sciences of the Czech Republic
  • The research grant projects for juniors
MU Faculty or unit
Faculty of Science
Keywords
linear Hamiltonian system, Riccati equation, quadratic functional, time scale, half-linear equation, oscillation, nonoscillation

The project is focused primarily on the investigation of the linear Hamiltonian dynamic systems on time scales and the half-linear dynamic equations on time scales. In particular, their qualitative properties will be studied and together with applications to control theory and calculus of variations. The investigation of the dynamic equations on time scales enables to obtain the results unifying the theories for the differential and difference equations, as well as for many other time scales, thus providing at the same time an explanation of the discrepancies between the continuous and discrete cases. The understanding of these discrepancies is important, for example, for numerical approximations. The main results will be presented at international meetings and published in international journals.

Publications

Total number of publications: 20

2008

2007

2006

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