Project information
Diferenční rovnice a dynamické rovnice na time scales III
(Difrov)
- Project Identification
- GAP201/10/1032
- Project Period
- 1/2010 - 12/2014
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Ondřej Došlý, DrSc.
- prof. RNDr. Zuzana Došlá, DSc.
- prof. RNDr. Zdeněk Pospíšil, Dr.
- prof. Mgr. Pavel Řehák, Ph.D.
- prof. RNDr. Roman Šimon Hilscher, DSc.
- Cooperating Organization
-
Mendel University in Brno
- Responsible person Petr Hasil
- Responsible person Simona Fišnarová
- Responsible person Mgr. Robert Mařík, PhD.
- Responsible person prof. RNDr. Josef Diblík, DrSc.
- Responsible person Irena Hlavičková
- Responsible person Jaromír Baštinec
Předmětem je studium kvalitativní vlastností řešení diferenčních rovnic a dynamických rovnic na tzv. time scales. Jedná se o pokačování současně řešeného projektu ``Diferenciální a dynamické rovnice na time scales III''.
Publications
Total number of publications: 91
2014
-
Limit periodic linear difference systems with coefficient matrices from commutative groups
Electronic Journal of Qualitative Theory of Differential Equations, year: 2014, volume: 2014, edition: 23
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Limit point and limit circle classification for symplectic systems on time scales
Applied Mathematics and Computation, year: 2014, volume: 233, edition: MAY, DOI
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Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
Journal of Dynamics and Differential Equations, year: 2014, volume: 26, edition: 1, DOI
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Non-almost periodic solutions of limit periodic and almost periodic homogeneous linear difference systems
Electronic Journal of Qualitative Theory of Differential Equations, year: 2014, volume: 2014, edition: 76
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On decreasing solutions of second order nearly linear differential equations
Boundary Value Problems, year: 2014, volume: 2014, edition: 62, DOI
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Singular comparison theorems for symplectic difference systems
J. Difference Equ. Appl., year: 2014, volume: 20, edition: 8, DOI
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Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter
Journal of Difference Equations and Applications, year: 2014, volume: 20, edition: 1, DOI
2013
-
A generalized index theorem for monotone matrix-valued functions with applications to discrete oscillation theory
SIAM Journal on Matrix Analysis and Applications, year: 2013, volume: 34, edition: 1, DOI
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A note on the equivalence between even order Sturm-Liouville equations and symplectic systems on time scales
Applied Mathematics Letters, year: 2013, volume: 26, edition: 1, DOI
-
Asymptotic behavior of increasing solutions to a system of n nonlinear differential equations
Nonlinear Analysis, Theory, Methods & Applications, year: 2013, volume: 77, edition: January, DOI