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
2004
-
Global asymtotic properties of third-order difference equations
Computers and Mathematics with Applications, year: 2004, volume: 48, edition: 2
-
Opial and Lypaunov type inequalities for half-linear dynamic equations
Dynamic Systems and Applications, year: 2004, volume: 13, edition: 3-4