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
2009
-
A Willett type criterion with the best possible constant for linear dynamic equations
Advanced Studies in Pure Mathematics. Advances in Discrete Dynamical Systems, year: 2009
-
Intermediate solutions for nonlinear difference equations with p-Laplacian
Advanced Studies in Pure Mathematics, year: 2009
-
Oscillation theory of symplectic difference systems
Advanced Studies in Pure Mathematics, year: 2009
2008
-
Applications of time scale symplectic systems without normality
Journal of Mathematical Analysis and Applications, year: 2008, volume: 340, edition: 1
-
Time scale embedding theorem and coercivity of quadratic functionals
Analysis (Munich), year: 2008, volume: 28, edition: 1
2007
-
Asymptotic boundary value problems for discrete dynamics
Difference equations, special functions and orthogonal polynomials, Eds. S. Elaydi, J Cushing, R. Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche, year: 2007
-
Colloquium on Differential and Difference Equations, CDDE 2006, Proceedings
Year: 2007, type:
-
Conjugacy and phases for second order linear difference equation
Comput. Math. Apl., year: 2007, volume: 53, edition: 7
-
Even order linear dynamic equations with mixed derivatives
Comput. Math. Appl., year: 2007, volume: 53, edition: 7
-
Existence of positive decaying solutions for nonlinear singular second order equations
Differential Equations and Dynamical Systems, year: 2007, volume: 15, edition: 1