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 http://dx.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
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.
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