Nonlinear Differential Equations (NMNV406) (Summer Semester 2024/2025)
This lecture course will cover the solution of nonlinear differential equations.
Exams:
The final exam will consist of a 30 minute oral examination on the topics covered.
Lectures:
Wednesday 14:00 – 15:30, K433KNM Sokolovská 83 Karlín
Lecture notes (will be constantly updated during the course): lecture_notes.pdf
Practicals:
Wednesday 15:40 – 17:10, K433KNM Sokolovská 83 Karlín
Exercises which will be discussed during the specified practicals:
- Practical 1: Exercises
- Practical 2: Exercises; Solutions
- Practical 3: Exercises; Solutions
- Practical 4: Exercises; Solutions
- Practical 5: Exercises
- Practical 6: Exercises; Solutions
- Practical 7: Exercises; Solutions
- No practical on 09.04.2025
Suggested Reading:
- K. Böhmer, Numerical Methods for Nonlinear Elliptic Differential Equations, Oxford University Press, 2010.
- V. Dolejší & K. Najzar, Nelineární funkcionální analýza, matfyzpress, 2011.
- E. Ziedler. Nonlinear functional analysis and its applications I, Springer, 1984.
- E. Ziedler. Nonlinear functional analysis and its applications II/A, Springer, 1990.
- J. Nečas. Introduction to the Theory of Nonlinear Elliptic Equations, Wiley, 1986
- L. C. Evans, Partial Differential Equations, AMS, 2010.