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
-
Time scale symplectic systems without normality
Journal of Differential Equations, year: 2006, volume: 230, edition: 1
-
Trigonometric recurrence relations and tridiagonal trigonometric matrices
Int. J. Difference Equ., year: 2006, volume: 1, edition: 1
2005
-
Half-Linear Differential Equations
Year: 2005, number of pages: 517 s.
-
Half-linear dynamic equations with mixed derivatives
Electron. J. Diff. Equations, year: 2005, volume: 2005, edition: 1
-
Hardy inequality on time scales and its application to half-linear dynamic equations
J. Inequal. Appl., year: 2005, volume: 2005, edition: 5
-
Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems
Difference Equations and Discrete Dynamical Systems, Proc. of 9th ICDEA, year: 2005
-
Nonnegativity and positivity of quadratic functionals in the discrete calculus of variations: Survey
Journal of Difference Equations and Applications, year: 2005, volume: 11, edition: 9
-
Nonoscillatory half-linear difference equations and recessive solutions
Adv. Difference Equ., year: 2005, volume: 2005, edition: 2
-
Solvability of the discrete LQR-problem under minimal assumptions
Difference Equations and Discrete Dynamical Systems, year: 2005
-
The Bohl transformation and its applications
2004 - Dynamical Systems and Applications, year: 2005