Linear Differential Equations

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


In this section we consider the vector equation
$$ \mathop x\limits^. {\rm{ }} = {\rm{ }}A(t){\rm{ }}. $$
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.


Linear Differential Equation Characteristic Root Adjoint Equation Order Number Fundamental System 
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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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