M7165 Oscillation theory

Faculty of Science
Autumn 2004
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. Alexander Lomtatidze, DrSc. (lecturer)
Guaranteed by
prof. Alexander Lomtatidze, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. Alexander Lomtatidze, DrSc.
Timetable
Tue 8:00–9:50 UP2
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
This course devoted to the fundamentals of oscillation theory of second and third order linear ordinary differential equationsations. The second order nonlinear equation of Emden-Fowler type considered as well.
Syllabus
  • §1. Second order equation 1.1. Sturmian theory 1.2. Hartman-Wintner oscillation criterion 1.3. Hille and Nehary oscillation criteria 1.4. Further oscillation criteria 1.5. Nonoscillation criteria 1.6. Conjugacy and disconjugacy 1.7. Quadratically integrable solutions 1.8. Vanishing at infinity solutions 1.9. Equations on finite interval §2. Emden-Fowler type equation 2.1. Comparision theorems 2.2. Hartman-Wintner type theorem 2.3. Oscillation criteria 2.4. Nonoscillation criteria 2.5. Conjugacy and disconjugacy 2.6. Equations on finite interval §3. Third order equation 3.1. Property A and property B 3.2. Oscillation criteria 3.3. Nonoscillation criteria 3.4. Sturm's type separation theorem
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 also listed under the following terms Autumn 2002.
  • Enrolment Statistics (recent)
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