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
2007
-
Integral comparison theorems for second order linear dynamic equations
Difference equations, special functions and orthogonal polynomials, Eds. S. Elaydi, J Cushing, R. Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche, year: 2007
-
Legendre, Jacobi, and Riccati type conditions for time scale variational problem with application
Dynamic Systems and Applications, year: 2007, volume: 16, edition: 3
-
Nonoscillatory solutions for Emden-Fowler type difference equations
Difference Equations, Special Functions, and Orthogonal Polynomials, year: 2007
-
Nonoscillatory solutions of a second-order nonlinear discrete system
Applied Mathematics and Computation, year: 2007, volume: 190, edition: 1
-
Oscillation theorems for symplectic difference systems
J. Difference Equ. Appl., year: 2007, volume: 13, edition: 7
-
Perturbation of nonnegative time scale quadratic functionals
Difference Equations, Special Functions, and Orthogonal Polynomials, year: 2007
-
Reciprocity principle for even-order dynamic equations with mixed derivatives
Dynam. Systems Appl., year: 2007, volume: 16, edition: 2
2006
-
An age-structured model of cannibalism
Electron. J. Diff. Eqs., year: 2006, volume: 2006, edition: 106
-
Boundary value problems for functional difference equations on infinite intervals
Advances in Difference Equations, year: 2006, volume: 2006, edition: Art. 31283
-
Colloquium on Differential and Difference Equations
Year: 2006, type: Conference