Project information

Project information
Oscillation and spectral theory of differential and difference systems

Project Identification

GC201/09/J009

Project Period

1/2009 - 12/2011

Investor / Pogramme / Project type

Czech Science Foundation

International projects

MU Faculty or unit

Faculty of Science

prof. RNDr. Ondřej Došlý, DrSc.
prof. RNDr. Roman Šimon Hilscher, DSc.

Keywords

Hamiltonain differential systems, symplectic difference systems, focal points, quadratic functionals, Riccati matrix equation

Publications

Total number of publications: 22

2012

Almost periodic homogeneous linear difference systems without almost periodic solutions

VESELÝ Michal

Article in Periodical

Journal of Difference Equations and Applications, year: 2012, volume: 18, edition: 10, DOI
Oscillation and conjugacy criteria for two-dimensional symplectic difference systems

DOŠLÝ Ondřej

Article in Periodical

Computers and Mathematics with Applications, year: 2012, volume: 64, edition: 7, DOI
Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

BOHNER Martin KRATZ Werner ŠIMON HILSCHER Roman

Article in Periodical

Mathematische Nachrichten, year: 2012, volume: 285, edition: 11-12, DOI
Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter

ŠIMON HILSCHER Roman

Article in Periodical

Linear Algebra and Its Applications, year: 2012, volume: 437, edition: 12, DOI
Rayleigh principle for linear Hamiltonian systems without controllability

KRATZ Werner ŠIMON HILSCHER Roman

Article in Periodical

ESAIM: Control, Optimisation and Calculus of Variations, year: 2012, volume: 18, edition: 2, DOI

2011

Almost periodic sequences and functions with given values

VESELÝ Michal

Article in Periodical

Archivum Mathematicum, year: 2011, volume: 47/2011, edition: 1
Construction of almost periodic functions with given properties

VESELÝ Michal

Article in Periodical

Electronic Journal of Differential Equations, year: 2011, volume: 2011, edition: 29
Critical higher order Sturm-Liouville difference operators

DOŠLÝ Ondřej HASIL Petr

Article in Periodical

J. Difference Equ. Appl., year: 2011, volume: 17, edition: 9
Critical second order operators on time scales

HASIL Petr ZEMÁNEK Petr

Article in Periodical

Discrete and Continuous Dynamical Systems, year: 2011, volume: 31, edition: 2011
Eigenvalue and oscillation theorems for time scale symplectic systems

KRATZ Werner ŠIMON HILSCHER Roman ZEIDAN Vera Michel

Article in Periodical

International Journal of Dynamical Systems and Differential Equations, year: 2011, volume: 3, edition: 1-2