Project information
Difference equations and their applications
- Project Identification
- GA201/98/0677
- Project Period
- 1/1998 - 1/2000
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Ondřej Došlý, DrSc.
Qualitative properties of solutions of difference equations and systems will be investigated.Main attention will be devoted to linear Hamiltonian difference systems and to higher order ( both linear and nonlinear ) difference equations. The obtained resu lts will be applied in the discrete optimization theory.
Publications
Total number of publications: 26
2001
-
Nonoscillation criteria for half-linear second order difference equations
Comput. Math. Appl., year: 2001, volume: 42, edition: 3-5, DOI
-
Oscillation and nonoscillation criteria for second order linear difference equations
Fasciculi Mathematici, year: 2001, volume: 2001, edition: 31
-
Oscillatory properties of second order half-linear difference equations
Czechoslovak Mathematical Journal, year: 2001, volume: 2001, edition: 51, DOI
-
Positivity of quadratic functionals on time scales: necessity
Mathematische Nachrichten, year: 2001, volume: 226, edition: 1
-
Reid roundabout theorem for symplectic dynamic systems on time scales
Applied Mathematics and Optimization, year: 2001, volume: 43, edition: 2
-
Sjednocení spojité a diskrétní analýzy
XIX vědecké kolokvium o řízení osvojovacího procesu, year: 2001
-
The discrete Prufer transformation
Proc. Amer. Math. Soc., year: 2001, volume: 129, edition: 9
2000
-
A Reid type roundabout theorem for second order half-linear difference equations and some of its applications
Proceedings of ICDEA 1998, year: 2000
-
Discrete optimal control: the accessory problem and necessary optimality conditions
Journal of Mathematical Analysis and Applications, year: 2000, volume: 243, edition: 2
-
Half-linear discrete oscillation theory
Proceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations (August 10--14, 1999, Szeged, Hungary), year: 2000