Informace o publikaci
Sturmian theory for linear Hamiltonian systems without controllability
| Název česky | Sturmova teorie pro lineární Hamiltonovské systémy bez předpokladu kontrolovatelnosti |
|---|---|
| Autoři | |
| Rok publikování | 2011 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Mathematische Nachrichten |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Linear Hamiltonian system; Sturmian separation theorem; Sturmian comparison theorem; Proper focal point; Controllability; Normality; Rayleigh principle; Self-adjoint eigenvalue problem; Finite eigenvalue; Oscillation theorem; Quadratic functional |
| Přiložené soubory | |
| Popis | In this paper we present Sturmian separation and comparison theorems for linear Hamiltonian systems when no controllability assumption is imposed. This generalizes the traditional results of W.T.Reid for controllable (or normal) linear Hamiltonian systems to the possibly abnormal case. Our new theory is based on several recent results on linear Hamiltonian systems without controllability by W.Kratz, M.Wahrheit, V.Zeidan, and the author regarding the piecewise constant kernel for conjoined bases, the oscillation and eigenvalue theorems, and the Rayleigh principle. |
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