Singular Sturmian theory for linear Hamiltonian differential systems

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Authors	DOŠLÝ Ondřej KRATZ Werner
Year of publication	2013
Type	Article in Periodical
Magazine / Source	Appl. Math. Letters
MU Faculty or unit	Faculty of Science
Citation
web	http://ac.els-cdn.com/S0893965913002243/1-s2.0-S0893965913002243-main.pdf?_tid=d58c0ef0-13ab-11e3-b28a-00000aab0f6c&acdnat=1378111629_ff9915fed377f13d2b03d4daffa28c66
Doi	https://doi.org/10.1016/j.aml.2013.07.004
Field	General mathematics
Keywords	Linear Hamiltonian differential system; principal solution; Riccati equation; minimal solution; Sturmian comparison theory
Attached files	AML4415.pdf
Description	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.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace