240025 Gewöhnliche Differentialgleichungen (V) (SoSe 2021)
Contents, comment
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Die Theorie gewöhnlichen Differentialgleichungen spielt eine zentrale Rolle in der Modellierung realer zeitabhängiger Prozesse. Viele physikalische Gesetze sowie quantitative Zusammenhänge in anderen Wissenschaften lassen sich als gewöhnliche Differentialgleichungen formulieren.
In der Vorlesung geht es neben der expliziten Berechnung der Lösungen in Spezialfällen, wo das möglich ist, vor allem um allgemeingültige qualitative Ergebnisse über die Existenz und Eindeutigkeit von Lösungen, ihre Abhängigkeit von den Anfangswerten und ihr Langzeitverhalten, aber auch um spezielle Erscheinungen wie die Entstehung von Schwingungen.
Bibliography
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Jan W. Prüss & Mathias Wilke, Gewöhnliche Differentialgleichungen und dynamische Systeme, 2. Auflage, Birkhäuser, 2019.
Wolfgang Walter, Gewöhnliche Differentialgleichungen, 7. Auflage, Springer, 2000.
Vladimir Arnold, Gewöhnliche Differentialgleichungen, 2. Auflage, Springer, 2001.
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| Frequency | Weekday | Time | Format / Place | Period |
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| Module | Course | Requirements | |
|---|---|---|---|
| 24-B-PRO_ver1 Profilierung | Vorlesung gemäß Modulbeschreibung | Graded examination
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Student information |
| 24-B-PSE-5a Profilierung Strukturierte Ergänzung a (5LP) | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-B-PSE-5b Profilierung Strukturierte Ergänzung b (5LP) | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-B-PSE_ver1 Profilierung Strukturierte Ergänzung | Vorlesung gemäß Modulbeschreibung | Graded examination
|
Student information |
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| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Studieren ab 50 |
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