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Linear Differential Equations

  • Wolfgang Hahn
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 138)

Abstract

In this section we consider the vector equation
$$ \mathop x\limits^. {\rm{ }} = {\rm{ }}A(t){\rm{ }}. $$
(58.1)
We assume that the elements a i k (t) of the matrix A are continuous functions of t defined for tt0. Equations with a constant A, treated in sec. 4, are special cases of (58.1). On the other hand, (58.1) is a special case of the equations with homogeneous right side which were examined in sec. 57.

Keywords

Linear Differential Equation Characteristic Root Adjoint Equation Order Number Fundamental System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • Wolfgang Hahn
    • 1
  1. 1.Technische Hochschule GrazGrazAustria

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