diff options
| author | Erik Löffler <100943759+erik-loeffler@users.noreply.github.com> | 2022-08-26 13:18:40 +0200 |
|---|---|---|
| committer | Erik Löffler <100943759+erik-loeffler@users.noreply.github.com> | 2022-08-26 13:18:40 +0200 |
| commit | 241305e4f895dfb63b57a9e54b6ec661f8999c36 (patch) | |
| tree | 10bd8ada67c159dc8f970801cfdb06bcaa2834a0 /buch/papers/sturmliouville/eigenschaften.tex | |
| parent | Cleaned up folder. (diff) | |
| download | SeminarSpezielleFunktionen-241305e4f895dfb63b57a9e54b6ec661f8999c36.tar.gz SeminarSpezielleFunktionen-241305e4f895dfb63b57a9e54b6ec661f8999c36.zip | |
Grammar and formatting mistakes corrected in
solution properties and fourier example.
Diffstat (limited to 'buch/papers/sturmliouville/eigenschaften.tex')
| -rw-r--r-- | buch/papers/sturmliouville/eigenschaften.tex | 18 |
1 files changed, 2 insertions, 16 deletions
diff --git a/buch/papers/sturmliouville/eigenschaften.tex b/buch/papers/sturmliouville/eigenschaften.tex index 8616172..fc9c3da 100644 --- a/buch/papers/sturmliouville/eigenschaften.tex +++ b/buch/papers/sturmliouville/eigenschaften.tex @@ -5,20 +5,6 @@ % (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil % -% TODO: -% state goal -% use only what is necessary -% make sure it is easy enough to understand (sentences as shot as possible) -% -> Eigenvalue problem with matrices only -% -> prepare reader for following examples -% -% order: -% 1. Eigenvalue problems with matrices -% 2. Sturm-Liouville is an Eigenvalue problem -% 3. Sturm-Liouville operator (self-adjacent) -% 4. Spectral theorem (brief) -% 5. Base of orthonormal functions - \section{Eigenschaften von Lösungen \label{sturmliouville:sec:solution-properties}} \rhead{Eigenschaften von Lösungen} @@ -99,9 +85,9 @@ Analog zur Matrix $A$ aus Abschnitt~\ref{sturmliouville:sec:eigenvalue-problem-matrix} kann auch für $L$ gezeigt werden, dass dieser Operator selbstadjungiert ist, also dass \[ - \langle L v, w\rangle + \langle L u, v\rangle = - \langle v, L w\rangle + \langle u, L v\rangle \] gilt. Wie in Kapitel~\ref{buch:integrale:subsection:sturm-liouville-problem} bereits |