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A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems

✍ Scribed by M. Bohner; O. Došlý; W. Kratz

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
342 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

The main result of the paper is a Sturmian-type separation theorem for the recessive solutions of linear Hamiltonian difference systems. The assumptions on the Hamiltonian systems allow to include the study of Sturm-Liouville difference equations of higher order. As an application of the main result, some Sturmian-type comparison results are obtained.

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Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution
✍ M. Bohner; O. Doš; R. Hilscher 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 473 KB

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 differen