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Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution

✍ Scribed by M. Bohner; O. Doš; R. Hilscher

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
473 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems on time scales are presented. It is shown that these results incorporate, as particular cases, oscillation and transformation theories of linear Hamiltonian differential systems and symplectic difference systems. In the last part of the paper a Sturmian-type property of the principal solution of linear Hamiltonian dynamic systems is established.

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