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Singular Sturmian theory for linear Hamiltonian differential systems |
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| Authors: | Ondřej Došlý Werner Kratz |
| Affiliation: | 1. Department of Mathematics and Statistics, Masaryk University, Kotlá?ská 2, CZ-611 37 Brno, Czech Republic;2. Universität Ulm, Institut für Angewandte Analysis, D–89069 Ulm, Germany |
| Abstract: | 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 present various extensions of this statement. |
| Keywords: | Linear Hamiltonian differential system Principal solution Riccati equation Minimal solution Sturmian comparison theory |
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