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Nonlinear analysis and applications 1

Code: 92934
ECTS: 5.0
Lecturers in charge: izv. prof. dr. sc. Boris Muha - Lectures
Lecturers: izv. prof. dr. sc. Boris Muha - Exercises
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: The goal of the course is to introduce students with basic methods of nonlinear analysis: function spaces, fixed-point methods and convex analysis and to present the applications of the developed theory to the analysis of integral equations and ordinary differential equations.

COURSE DESCRIPTION AND SYLLABUS:
- Normed spaces and examples (3 weeks)
- Operators on normed spaces (linear operators, compact operators, Banach fixed point theorem, integral equations, 4 weeks)
- Differential and integral calculus (integration of vector functions, Frechet and Gateaux derivative, Newton method, 4 weeks)
- Convex analysis, Brower and Schauder fixed point theorem, applications to ordinary differential equations and integral equations (4 weeks).

TEACHING AND ASSESSMENT METHODS: Students should attend 70% of all lectures and tutorials, pass all mid-term exams and have to do 70% of their homework. Final exam is in written or oral form. Final grade is a combination of grades obtained in mid-term exams, homework and the final exam.
Literature:
  1. P. Drabek, J. Milota: Methods of Nonlinear Analysis
  2. K.-C. Chang: Methods in Nonlinear Analysis
  3. E. Zeidler: Nonlinear Functional Analysis and its Applications, I-IV
1. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

2. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

3. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

4. semester
Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics
Consultations schedule: