PřF:MD121 Diff.equations of higher order

MD121 Differential equations of higher order

Faculty of Science
Autumn 2006

Extent and Intensity

2/0. 2 credit(s) (plus 2 credits for an exam). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Miroslav Bartušek, DrSc. (lecturer)

Guaranteed by

Prerequisites

M7160 Differential Equations II
To finish the course Ordinary differential equations II or to study the doctoral program Mathematics.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

Course objectives

Study of systems of linear differential equations and of the equation of the n-th order.

Syllabus

Basic properties systems of linear differential equations n-th order differential equation Adjoint equation Floquet theory Equations with sign conditions Properties A and B Existence of special types of solutions - oscillatory, Kneser and quickly increasing solutions.

Literature

BARTUŠEK, Miroslav. Asymptotic Properties of Oscillatory Solutions of Differential Equations of the n-th Order. Brno: Masarykova univerzita Brno, 1993, 91 pp. ISBN 80-210-0536-x. info
CHANTURIA, T. A. and I. T. KIGURADZE. Asymptotic properties of solutions of nonautonomous ordinary differential equations. Dordrecht: Kluwer Academic Publishers, 1993, 331 s. ISBN 0-7923-2059-X. info

Assessment methods (in Czech)

Ustní zkouška.

Language of instruction

Czech

Further Comments

The course is taught once in two years.
The course is taught: every week.

The course is also listed under the following terms Autumn 2005.