PřF:M7160 Differential Equations II - Course Information
M7160 Differential Equations II
Faculty of ScienceAutumn 2000
- Extent and Intensity
- 2/1/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. Alexander Lomtatidze, DrSc. (lecturer)
- Guaranteed by
- doc. RNDr. Josef Kalas, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. Alexander Lomtatidze, DrSc. - Prerequisites (in Czech)
- M5160 Ord. Differential Equations I
- 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
- Mathematics (programme PřF, M-MA, specialization Mathematical Analysis)
- Mathematics (programme PřF, N-MA, specialization Mathematical Analysis)
- Course objectives
- Differential inequalities. Selected parts from the theory of linear differential equations (Floquet theory, linear second-order equations: basic properties, Green function, Sturm comparison theorems, Sturm-Liouville boundary-value problem, oscillation theory). Solution of differential equations by means of infinite series. Generalization of the concept of a solution (Carathéodory solution, existence and uniqueness of Carathéodory solutions). Introduction to the theory of differential equations with deviating argument (basic notions, method of steps, existence and uniqueness for delay equations).
- Literature
- KALAS, Josef and Miloš RÁB. Obyčejné diferenciální rovnice. 1. vyd. Brno: Masarykova univerzita, 1995, 207 s. ISBN 8021011300. info
- KURZWEIL, Jaroslav. Obyčejné diferenciální rovnice : úvod do teorie obyčejných diferenciálních rovnic v reálném oboru. 1. vyd. Praha: SNTL - Nakladatelství technické literatury, 1978, 418 s. info
- GREGUŠ, Michal, Marko ŠVEC and Valter ŠEDA. Obyčajné diferenciálne rovnice. 1. vyd. Bratislava: Alfa, vydavateľstvo technickej a ekonomickej literatúry, 1985, 374 s. info
- Hartman, Philip. Ordinary differential equations. New York-London-Sydney: John Wiley & sons, 1964.
- El'sgol'c, L. E. Vvedenie v teoriju differencial'nych uravnenij s otklonjajuščimsja argumentom. Moskva
- Driver, Rodney David. Ordinary and delay differential equations. New York-Heidelberg-Berlin: Springer Verlag, 1977.
- Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
The course is taught once in two years.
The course is taught: every week.
- Enrolment Statistics (Autumn 2000, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2000/M7160