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Linear Differential Equations

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Stability of Motion

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

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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.

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© 1967 Springer-Verlag Berlin · Heidelberg

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Hahn, W. (1967). Linear Differential Equations. In: Stability of Motion. Die Grundlehren der mathematischen Wissenschaften, vol 138. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50085-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-50085-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50087-9

  • Online ISBN: 978-3-642-50085-5

  • eBook Packages: Springer Book Archive

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