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An eigenvalue problem for linear Hamiltonian dynamic systems
systems are linear Hamiltonian differential systems as well as linear Hamiltonian difference systems.In this paper we consider eigenvalue problems on time scales involving linear
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Linear Hamiltonian systems on time scales: transformations
In this work we develop a transformation theory for linear Hamiltonian systems on an arbitrary time scale T. We prove that, under suitable assumptions, a linear Hamiltonian system is transformed i...
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems.
We investigate linear Hamiltonian dynamic systems (H). In particular, we characterize the disconjugacy of (H) in terms of the solvability of a Riccati inequality. This generalizes the known result of linear Ham...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Transformations of linear Hamiltonian systems - continuous versus discrete
Various aspects of transformation theory of discrete and continuous linear Hamiltonian systems are discussed.
BA - Obecná matematika
- 1998 •
- D
Rok uplatnění
D - Stať ve sborníku
Linear Hamiltonian dynamic systems on time scales: Sturmian property of principal solution
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems on time scales are presented. In particular, a Sturmian-type property for the principal solutions is established....
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutio...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Embedding of Linear Hamiltonian Systems on Small Time Scales
If a time scale $/T$ is in a sense small, then for any linear Hamiltonian dynamic system $x^{/Delta}=S(t)x$ on $/T$ its translation operator $e_{S(/cdot)(t,s)}$ is a restriction of a translation operator generated by a ...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Relative oscillation of linear Hamiltonian differential systems
We discuss the concept of relative oscillation for linear Hamiltonian differential systems. We prove a statement which enables to study this oscillation using the criteria of the classical oscillation theory. We also discus...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Singular Sturmian theory for linear Hamiltonian differential systems
We establish a Sturmian type theorem comparing the number of focal points of any conjoined basis of a nonoscillatory linear Hamiltonian differential system with the number of focal points of the principal solution. We also ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems
disconjugacy and weak controllability for linear Hamiltonian differential systems., in: Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control bases for linear
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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