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Systeme von linearen Differentialgleichungen

In: Eine Einführung in gewöhnliche Differentialgleichungen

Author

Listed:
  • Martin Hermann

    (Friedrich Schiller University, Institute of Applied Mathematics)

  • Masoud Saravi

    (Shomal University, Department of Technical and Engineering)

Abstract

Zusammenfassung Im Kap. 5 werden Systeme von Differentialgleichungen erster Ordnung untersucht. Für niedrigdimensionale Systeme werden Eliminationstechniken unter Verwendung des D-Operators und Laplace-Transformationen beschrieben. Für größere Systeme wird die Matrix-Vektor-Notation verwendet und die Lösung des homogenen Systems wird auf der Basis der Eigenwerte der zugehörigen charakteristischen Gleichung dargestellt. Für die Bestimmung einer partikulären Lösung des inhomogenen Systems werden die Methode der Variation der Konstanten und die Methode der unbestimmten Koeffizienten dargestellt.

Suggested Citation

  • Martin Hermann & Masoud Saravi, 2024. "Systeme von linearen Differentialgleichungen," Springer Books, in: Eine Einführung in gewöhnliche Differentialgleichungen, chapter 0, pages 115-139, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-3996-3_5
    DOI: 10.1007/978-81-322-3996-3_5
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