Chapter 78

Differential Equations and Stability

Volker Mehrmann

Technical University of Berlin

Tatjana Stykel

University of Augsburg

Differential equations and differential-algebraic equations arise in numerous branches of science and engineering that include biology, chemistry, medicine, structural mechanics, and electrical engineering. This chapter is concerned with linear differential(-algebraic) equations with constant coefficients that can be analyzed completely via techniques from linear algebra. We discuss the existence and uniqueness of solutions of such equations as well as the stability theory.

78.1 Linear Differential Equations with Constant Coefficients: Basic Concepts

Definitions:

A linear differential equation in an unknown function ...

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