Lecturer(s)


Andres Jan, prof. RNDr. dr hab. DSc.

Staněk Svatoslav, prof. RNDr. CSc.

Course content

1. Dependence of the solution on initial values and parameters. 2. The Caratheodory theory. 3. Twopoint boundary value problem for second order differential equations, the Green formula. 4. Eigenvalues and eigenvectors of boundary value problems. 5. Periodic solutions of diferential equations.

Learning activities and teaching methods

Lecture
 Homework for Teaching
 25 hours per semester
 Attendace
 26 hours per semester
 Preparation for the Exam
 40 hours per semester

Learning outcomes

To understand the qualitative theory of solutions to systems of ordinary diffrential equations in the Caratheodory sense and solving of boundary value problems
Comprehension Understand the qualitative theory of solutions to systems of ordinary diffrential equations in the Caratheodory sense and solving of boundary value problems.

Prerequisites

Students should be familiar with the basic notions of ordinary differential equations to the extent of the course KMA/ODR1.

Assessment methods and criteria

Oral exam
Credit: active participation, homework. Exam: written test, the student has to understand the subject and be able to prove principal results.

Recommended literature


J. Kalas, M. Ráb. (1995). Obyčejné diferenciální rovnice. Brno.

J. Kurzweil. (1978). Obyčejné diferenciální rovnice. SNTL, Praha.

M. Greguš, M. Švec, V. Šeda. (1985). Obyčajné diferenciálne rovnice. Alfa, SNTL.
