312.224 (16W) Selected Topics in Analysis
Overview
- Lecturer
- Course title german Ausgewählte Kapitel der Analysis (Nichtlineare Analysis)
- Type Lecture - Practical class (continuous assessment course )
- Hours per Week 3.0
- ECTS credits 5.0
- Registrations 4 (15 max.)
- Organisational unit
- Language of instruction Englisch
- Course begins on 04.10.2016
Time and place
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Course Information
Course content
Description
We investigate various methods for the analysis of abstract nonlinear equations in Banach spaces. In concrete situations, these equations are ordinary or partial differential equations, as well as integral equations.
Contents
Topological methods: Brouwer and Leray-Schauder degree, Measures of Noncompactness
Calculus in Banach spaces: Analysis in normed spaces, Taylor’s theorem, implicit mapping theorem
Local bifurcation theory: Fredholm operators, Lyapunov-Schmidt method, Fold bifurcation, Bifurcation from simple eigenvalues
Monotone operators: Basics, Krein-Rutman theorem
Literature
tba
Examination information
Im Fall von online durchgeführten Prüfungen sind die Standards zu beachten, die die technischen Geräte der Studierenden erfüllen müssen, um an diesen Prüfungen teilnehmen zu können.
Grading scheme
Grade / Grade grading schemePosition in the curriculum
- Thematic Doctoral Programme Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(SKZ: ---, Version: 16W.1)
-
Subject: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Compulsory subject)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
- 312.224 Selected Topics in Analysis (3.0h VU / 5.0 ECTS)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
-
Subject: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Compulsory subject)
- Master's degree programme Technical Mathematics
(SKZ: 401, Version: 13W.1)
-
Subject: Angewandte Analysis
(Compulsory elective)
-
Ausgewählte Kapitel der Analysis (
3.0h VU / 5.0 ECTS)
- 312.224 Selected Topics in Analysis (3.0h VU / 5.0 ECTS)
-
Ausgewählte Kapitel der Analysis (
3.0h VU / 5.0 ECTS)
-
Subject: Angewandte Analysis
(Compulsory elective)
Equivalent courses for counting the examination attempts
This course is not assigned to a sequence of equivalent courses