Nonlinear Functional Analysis
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 470-4115/03 |
| Abbreviation | NEFN |
| Course title | Nonlinear Functional Analysis |
| Credits | 4 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | prof. RNDr. Jiří Bouchala, Ph.D. |
Subject syllabus
Spectral Theory of Bounded Operators:
Self - Adjoint Operators.
Compact Operators.
Fundamental Theorems of Nonlinear Functional Analysis:
Baire Theorem.
Open Mapping Theorem.
Implicit Function Theorem.
Bifurcation Theorem.
Topological Methods:
Brouwer Fixed Point Theorem.
Topological Degree.
Monotone Operators.
Variational Methods:
Ekeland Variational Principle.
Mountain Pass Theorem.
Saddle Point Theorem.
Self - Adjoint Operators.
Compact Operators.
Fundamental Theorems of Nonlinear Functional Analysis:
Baire Theorem.
Open Mapping Theorem.
Implicit Function Theorem.
Bifurcation Theorem.
Topological Methods:
Brouwer Fixed Point Theorem.
Topological Degree.
Monotone Operators.
Variational Methods:
Ekeland Variational Principle.
Mountain Pass Theorem.
Saddle Point Theorem.
E-learning
Literature
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.
Advised literature
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.