1. komponenta

Lecture type	Total
Lectures	45

* Load is given in academic hour (1 academic hour = 45 minutes)

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).

1. Methods of Nonlinear Analysis, P. Drabek, J. Milota, Birkhauser, 2007.
2. Methods in Nonlinear Analysis, K.-C. Chang, Springer, 2005.
3. Nonlinear Functional Analysis and its Applications, I-IV, E. Zeidler, Springer.

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics