Linear Hamiltonian systems on time scales: transformations

HILSCHER, Roman. Linear Hamiltonian systems on time scales: transformations. Dynamic Systems and Applications. Atlanta, USA: Dynamic Publishers,Inc., 1999, vol. 8, 3-4, p. 489-501, 12 pp. ISSN 1056-2176.

Basic information

Original name

Linear Hamiltonian systems on time scales: transformations

Authors

HILSCHER, Roman (203 Czech Republic, guarantor)

Edition

Dynamic Systems and Applications, Atlanta, USA, Dynamic Publishers,Inc. 1999, 1056-2176

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14310/99:00008158

Organization unit

Faculty of Science

Keywords in English

time scale; (continuous and discrete) linear Hamiltonian system; transformation; disconjugacy; principal solution

Tags

disconjugacy, Principal solution, time scale, transformation

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Abstract

V originále

In this work we develop a transformation theory for linear Hamiltonian systems on an arbitrary time scale T. We prove that, under suitable assumptions, a linear Hamiltonian system is transformed into a system of the same form, which includes the corresponding continuous (T=R) and discrete (T=Z) results as special cases. Since we allow the matrix B to be singular, the important Sturm-Liouville equations of higher order may be studied as a special linear Hamiltonian system.

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Links

GA201/96/0410, research and development project	Name: Diferenciální a funkcionálně-diferenciální rovnice Investor: Czech Science Foundation, Differential and functional - differential equations
GA201/98/0677, research and development project	Name: Diferenční rovnice a jejich aplikace Investor: Czech Science Foundation, Difference equations and their applications