Project information
Difference Equations and Dynamic Equations on Time Scales.
- Project Identification
- GA201/04/0580
- Project Period
- 1/2004 - 1/2006
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Ondřej Došlý, DrSc.
- Keywords
- Symplectic diference system, discrete quadratic functional, asymptotic and oscullation theory, quaslinear difference equations, dynamic equations on time scales
The aim of the project is to investigate difference equations and dynamic
equations on time scales with a particular attention devoted to
the following problems:
- nonnegativity of discrete quadratic functionals and symplectic difference
systems in the discrete calculus of variations and discrete optimal control,
- oscillation and asymptotic properties of solutions of linear, half-linear
and quasilinear second order difference equations,
- asymptotic properties of linear and nonlinear difference systems,
- symplectic dynamic systems on time scales: oscillation and transformation
theory,
- second order dynamic equations on time scales.
Publications
Total number of publications: 42
2006
-
Comparison results for solutions of time scale matrix Riccati equations and inequalities
The Australian Journal of Mathematical Analysis and Applications, year: 2006, volume: 3, edition: 2
-
Coupled intervals for discrete symplectic systems
Linear Algebra and its Applications, year: 2006, volume: 419, edition: 2-3
-
Diferenciální rovnice v biologii a medicíně
Vědecké spisy Vysokého učení technického v Brně, Edice Habilitační a inaugurační spisy, year: 2006, volume: 204, edition: 1
-
Effect of Residence in Various Drinking Environments
APLIMAT 5th International Conference, year: 2006
-
Function sequence technique for half-linear dynamic equations on time scales
Panamer. Math. J., year: 2006, volume: 16, edition: 1
-
How the constants in Hille-Nehari theorems depend on time scales
Advances in Difference Equations, year: 2006, volume: 2006, edition: 1
-
Linearization techniques and oscillation of half-linear differential equations
Stud. Univ. Žilina Math. Ser., year: 2006, volume: 20, edition: 1
-
Matematický model procesu osvojení si návyku konzumace alkoholických nápojů
XXIV. International Colloquium on the Acquisition Process Management. Proceedings of abstract and electronic version of rewiewed contributions on CD-ROM., year: 2006
-
On third order linear difference equations involving quasidifferences
Adv. Difference Equations, year: 2006, volume: 2006, edition: 1
-
Riccati inequality and other results for discrete symplectic systems
Journal of Mathematical Analysis and Applications, year: 2006, volume: 322, edition: 2