Abstract
In the important special case where \(t\mapsto A(t) \) is a constant function, the solution of \(\dot{x} =Ax\) is reduced to a problem in linear algebra. Also, by defining the matrix exponential, the flow of this autonomous system is associated with a one-parameter linear group with generator A.
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Chicone, C. (2024). Homogeneous Linear Systems. In: Ordinary Differential Equations with Applications. Texts in Applied Mathematics, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-031-51652-8_2
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DOI: https://doi.org/10.1007/978-3-031-51652-8_2
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