MU:MU02054 Ordinary Differential Eq. adv.

MU02054 Ordinary Differential Equations (Advanced Course)

Mathematical Institute in Opava
Summer 2016

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Jana Hantáková, Ph.D. (lecturer)

Guaranteed by

Prerequisites (in Czech)

MU02024 Ordinary Differential Equation

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 (in Czech)

Diferenciální rovnice pro pokročilé

Syllabus

Initial and boundary value problems, Green functions, Sturm-Liouville problem.
Laplace transform, inverse Laplace transform, applications.
Solving ODE using power series.
Hypergeometric and other special functions.

Literature

recommended literature

M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Online. Philadelphia, 1984, [citováno 2024-04-23] info
S. Míka, A. Kufner. Okrajové úlohy pro obyčejné diferenciální rovnice. Online. Praha, 1983, [citováno 2024-04-23] info
E. D. Rainville, P. E. Bedient. Elemetary differential equations. Online. New York, 1981, [citováno 2024-04-23] info
R. Bronson. Schaum's outline of modern introductory differential equations. Online. New York, 1981, [citováno 2024-04-23] info
J. Kurzweil. Obyčejné diferenciální rovnice : úvod do teorie obyčejných diferenciálních rovnic v reálném oboru. Online. Praha, SNTL, 1978, [citováno 2024-04-23] info
É. Goursat. Differential equations. Online. New York, 1945, [citováno 2024-04-23] info

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.