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
2011
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Generalized zeros of 2 × 2 symplectic difference system and of its reciprocal system
Adv. Difference Equ., year: 2011, volume: 2011, edition: prosinec, DOI
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On general Sturmian theory for abnormal linear Hamiltonian systems
Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, year: 2011
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Overview of Weyl-Titchmarsh theory for second order Sturm-Liouville equations on time scales
Int. J. Difference Equ., year: 2011, volume: 6, edition: 1
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Sturmian theory for linear Hamiltonian systems without controllability
Mathematische Nachrichten, year: 2011, volume: 284, edition: 7
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Weyl-Titchmarsh theory for time scale symplectic systems on half line
Abstract and Applied Analysis, year: 2011, volume: 2011, edition: 738520, DOI
2010
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A remark on focal points of recessive solutions of discrete symplectic systems
J. Math. Anal. Appl., year: 2010, volume: 263, edition: 1
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Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
Mathematica Bohemica, year: 2010, volume: 315, edition: 2
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On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line
Applied Mathematics and Computation, year: 2010, volume: 217, edition: 7
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Symplectic structure of Jacobi systems on time scales
International Journal of Difference Equations, year: 2010, volume: 5, edition: 1
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The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional p-Laplacian
Abstr. Appl. Anal., year: 2010, volume: 2010, edition: 1