MEACD Matrix equations

Faculty of Science
Autumn 2008
Extent and Intensity
0/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
Stefan Hilger (lecturer), prof. RNDr. Roman Šimon Hilscher, DSc. (deputy)
Guaranteed by
prof. RNDr. Roman Šimon Hilscher, DSc.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
In a short introduction central notions of time scales are recalled: Derivative, Dynamic equations, Exponential function. The regressive group and cylinder transform will exhibit the transition from the continuous to the discrete case for certain concepts of qualitative analysis of differential /difference equations. Then we will closely analyse the relation between right hand sides and solution trajectories of matrix dynamic equations. This leads to the notion of h Lie algebras corresponding to classical matrix Lie groups.
Syllabus
  • In a short introduction central notions of time scales are recalled: Derivative, Dynamic equations, Exponential function. The regressive group and cylinder transform will exhibit the transition from the continuous to the discrete case for certain concepts of qualitative analysis of differential /difference equations. Then we will closely analyse the relation between right hand sides and solution trajectories of matrix dynamic equations. This leads to the notion of h Lie algebras corresponding to classical matrix Lie groups.
Literature
  • BOHNER, Martin and Allan PETERSON. Dynamic Equations on Time Scales. An Introduction with Applications. Boston, MA: Birkhauser, 2001. ISBN 0-8176-4225-0. info
Assessment methods
One credit for attending the course.
Language of instruction
English
Further comments (probably available only in Czech)
The course is taught only once.
The course is taught in blocks.
  • Enrolment Statistics (recent)
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